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Finding the Third Proportional to 81,547 and 176,665

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Solution

The third proportional to 81,547 and 176,665 is: 382,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,547 : 176,665 = 176,665 : x
  2. Step 2: Convert to fraction form
    81,547/176,665 = 176,665/x
  3. Step 3: Cross multiply
    81,547x = 176,665 × 176,665
  4. Step 4: Simplify right side
    81,547x = 31,210,522,225
  5. Step 5: Solve for x
    x = 31,210,522,225/81,547
  6. Step 6: Final answer
    x = 382,730.48

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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.