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Finding the Third Proportional to 101,537.93 and 157,858.88

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Solution

The third proportional to 101,537.93 and 157,858.88 is: 245,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,537.93 : 157,858.88 = 157,858.88 : x
  2. Step 2: Convert to fraction form
    101,537.93/157,858.88 = 157,858.88/x
  3. Step 3: Cross multiply
    101,537.93x = 157,858.88 × 157,858.88
  4. Step 4: Simplify right side
    101,537.93x = 24,919,424,416.27
  5. Step 5: Solve for x
    x = 24,919,424,416.27/101,537.93
  6. Step 6: Final answer
    x = 245,419.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.