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Finding the Third Proportional to 53,555.13 and 83,025.42

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Solution

The third proportional to 53,555.13 and 83,025.42 is: 128,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,555.13 : 83,025.42 = 83,025.42 : x
  2. Step 2: Convert to fraction form
    53,555.13/83,025.42 = 83,025.42/x
  3. Step 3: Cross multiply
    53,555.13x = 83,025.42 × 83,025.42
  4. Step 4: Simplify right side
    53,555.13x = 6,893,220,677.52
  5. Step 5: Solve for x
    x = 6,893,220,677.52/53,555.13
  6. Step 6: Final answer
    x = 128,712.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.