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Finding the Third Proportional to 57,952.13 and 89,684.72

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Solution

The third proportional to 57,952.13 and 89,684.72 is: 138,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.13 : 89,684.72 = 89,684.72 : x
  2. Step 2: Convert to fraction form
    57,952.13/89,684.72 = 89,684.72/x
  3. Step 3: Cross multiply
    57,952.13x = 89,684.72 × 89,684.72
  4. Step 4: Simplify right side
    57,952.13x = 8,043,348,777.27
  5. Step 5: Solve for x
    x = 8,043,348,777.27/57,952.13
  6. Step 6: Final answer
    x = 138,792.99

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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.