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Finding the Third Proportional to 116,870 and 171,572

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Solution

The third proportional to 116,870 and 171,572 is: 251,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,870 : 171,572 = 171,572 : x
  2. Step 2: Convert to fraction form
    116,870/171,572 = 171,572/x
  3. Step 3: Cross multiply
    116,870x = 171,572 × 171,572
  4. Step 4: Simplify right side
    116,870x = 29,436,951,184
  5. Step 5: Solve for x
    x = 29,436,951,184/116,870
  6. Step 6: Final answer
    x = 251,877.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.