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Finding the Third Proportional to 101,435.25 and 157,893

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Solution

The third proportional to 101,435.25 and 157,893 is: 245,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.25 : 157,893 = 157,893 : x
  2. Step 2: Convert to fraction form
    101,435.25/157,893 = 157,893/x
  3. Step 3: Cross multiply
    101,435.25x = 157,893 × 157,893
  4. Step 4: Simplify right side
    101,435.25x = 24,930,199,449
  5. Step 5: Solve for x
    x = 24,930,199,449/101,435.25
  6. Step 6: Final answer
    x = 245,774.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.