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Finding the Third Proportional to 53,460.75 and 83,167.88

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Solution

The third proportional to 53,460.75 and 83,167.88 is: 129,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,460.75 : 83,167.88 = 83,167.88 : x
  2. Step 2: Convert to fraction form
    53,460.75/83,167.88 = 83,167.88/x
  3. Step 3: Cross multiply
    53,460.75x = 83,167.88 × 83,167.88
  4. Step 4: Simplify right side
    53,460.75x = 6,916,895,432.02
  5. Step 5: Solve for x
    x = 6,916,895,432.02/53,460.75
  6. Step 6: Final answer
    x = 129,382.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.