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Finding the Third Proportional to 101,554.50 and 157,167

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Solution

The third proportional to 101,554.50 and 157,167 is: 243,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,554.50 : 157,167 = 157,167 : x
  2. Step 2: Convert to fraction form
    101,554.50/157,167 = 157,167/x
  3. Step 3: Cross multiply
    101,554.50x = 157,167 × 157,167
  4. Step 4: Simplify right side
    101,554.50x = 24,701,465,889
  5. Step 5: Solve for x
    x = 24,701,465,889/101,554.50
  6. Step 6: Final answer
    x = 243,233.59

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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.