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Finding the Third Proportional to 71,547 and 155,386

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Solution

The third proportional to 71,547 and 155,386 is: 337,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547 : 155,386 = 155,386 : x
  2. Step 2: Convert to fraction form
    71,547/155,386 = 155,386/x
  3. Step 3: Cross multiply
    71,547x = 155,386 × 155,386
  4. Step 4: Simplify right side
    71,547x = 24,144,808,996
  5. Step 5: Solve for x
    x = 24,144,808,996/71,547
  6. Step 6: Final answer
    x = 337,467.80

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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.