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Finding the Third Proportional to 57,656 and 125,746

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Solution

The third proportional to 57,656 and 125,746 is: 274,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,656 : 125,746 = 125,746 : x
  2. Step 2: Convert to fraction form
    57,656/125,746 = 125,746/x
  3. Step 3: Cross multiply
    57,656x = 125,746 × 125,746
  4. Step 4: Simplify right side
    57,656x = 15,812,056,516
  5. Step 5: Solve for x
    x = 15,812,056,516/57,656
  6. Step 6: Final answer
    x = 274,248.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.