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Finding the Third Proportional to 55,966.50 and 84,488.75

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Solution

The third proportional to 55,966.50 and 84,488.75 is: 127,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966.50 : 84,488.75 = 84,488.75 : x
  2. Step 2: Convert to fraction form
    55,966.50/84,488.75 = 84,488.75/x
  3. Step 3: Cross multiply
    55,966.50x = 84,488.75 × 84,488.75
  4. Step 4: Simplify right side
    55,966.50x = 7,138,348,876.56
  5. Step 5: Solve for x
    x = 7,138,348,876.56/55,966.50
  6. Step 6: Final answer
    x = 127,546.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.