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Finding the Third Proportional to 71,724 and 157,602

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Solution

The third proportional to 71,724 and 157,602 is: 346,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724 : 157,602 = 157,602 : x
  2. Step 2: Convert to fraction form
    71,724/157,602 = 157,602/x
  3. Step 3: Cross multiply
    71,724x = 157,602 × 157,602
  4. Step 4: Simplify right side
    71,724x = 24,838,390,404
  5. Step 5: Solve for x
    x = 24,838,390,404/71,724
  6. Step 6: Final answer
    x = 346,305.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.