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Finding the Third Proportional to 71,547 and 155,406

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Solution

The third proportional to 71,547 and 155,406 is: 337,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547 : 155,406 = 155,406 : x
  2. Step 2: Convert to fraction form
    71,547/155,406 = 155,406/x
  3. Step 3: Cross multiply
    71,547x = 155,406 × 155,406
  4. Step 4: Simplify right side
    71,547x = 24,151,024,836
  5. Step 5: Solve for x
    x = 24,151,024,836/71,547
  6. Step 6: Final answer
    x = 337,554.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.