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Finding the Third Proportional to 71,510 and 157,024

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Solution

The third proportional to 71,510 and 157,024 is: 344,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510 : 157,024 = 157,024 : x
  2. Step 2: Convert to fraction form
    71,510/157,024 = 157,024/x
  3. Step 3: Cross multiply
    71,510x = 157,024 × 157,024
  4. Step 4: Simplify right side
    71,510x = 24,656,536,576
  5. Step 5: Solve for x
    x = 24,656,536,576/71,510
  6. Step 6: Final answer
    x = 344,798.44

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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.