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Finding the Third Proportional to 120,746 and 177,414

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Solution

The third proportional to 120,746 and 177,414 is: 260,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,746 : 177,414 = 177,414 : x
  2. Step 2: Convert to fraction form
    120,746/177,414 = 177,414/x
  3. Step 3: Cross multiply
    120,746x = 177,414 × 177,414
  4. Step 4: Simplify right side
    120,746x = 31,475,727,396
  5. Step 5: Solve for x
    x = 31,475,727,396/120,746
  6. Step 6: Final answer
    x = 260,677.19

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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.