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Finding the Third Proportional to 71,757 and 157,140

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Solution

The third proportional to 71,757 and 157,140 is: 344,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757 : 157,140 = 157,140 : x
  2. Step 2: Convert to fraction form
    71,757/157,140 = 157,140/x
  3. Step 3: Cross multiply
    71,757x = 157,140 × 157,140
  4. Step 4: Simplify right side
    71,757x = 24,692,979,600
  5. Step 5: Solve for x
    x = 24,692,979,600/71,757
  6. Step 6: Final answer
    x = 344,119.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.