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Finding the Third Proportional to 71,527 and 157,057

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Solution

The third proportional to 71,527 and 157,057 is: 344,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,527 : 157,057 = 157,057 : x
  2. Step 2: Convert to fraction form
    71,527/157,057 = 157,057/x
  3. Step 3: Cross multiply
    71,527x = 157,057 × 157,057
  4. Step 4: Simplify right side
    71,527x = 24,666,901,249
  5. Step 5: Solve for x
    x = 24,666,901,249/71,527
  6. Step 6: Final answer
    x = 344,861.40

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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.