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Finding the Third Proportional to 56,760.75 and 121,677.19

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Solution

The third proportional to 56,760.75 and 121,677.19 is: 260,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,760.75 : 121,677.19 = 121,677.19 : x
  2. Step 2: Convert to fraction form
    56,760.75/121,677.19 = 121,677.19/x
  3. Step 3: Cross multiply
    56,760.75x = 121,677.19 × 121,677.19
  4. Step 4: Simplify right side
    56,760.75x = 14,805,337,957.91
  5. Step 5: Solve for x
    x = 14,805,337,957.91/56,760.75
  6. Step 6: Final answer
    x = 260,837.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.