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Finding the Third Proportional to 81,476 and 176,776

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Solution

The third proportional to 81,476 and 176,776 is: 383,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,476 : 176,776 = 176,776 : x
  2. Step 2: Convert to fraction form
    81,476/176,776 = 176,776/x
  3. Step 3: Cross multiply
    81,476x = 176,776 × 176,776
  4. Step 4: Simplify right side
    81,476x = 31,249,754,176
  5. Step 5: Solve for x
    x = 31,249,754,176/81,476
  6. Step 6: Final answer
    x = 383,545.51

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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.