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Finding the Third Proportional to 57,394.13 and 90,492.89

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Solution

The third proportional to 57,394.13 and 90,492.89 is: 142,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394.13 : 90,492.89 = 90,492.89 : x
  2. Step 2: Convert to fraction form
    57,394.13/90,492.89 = 90,492.89/x
  3. Step 3: Cross multiply
    57,394.13x = 90,492.89 × 90,492.89
  4. Step 4: Simplify right side
    57,394.13x = 8,188,963,253.67
  5. Step 5: Solve for x
    x = 8,188,963,253.67/57,394.13
  6. Step 6: Final answer
    x = 142,679.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.