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Finding the Third Proportional to 57,473 and 89,199

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Solution

The third proportional to 57,473 and 89,199 is: 138,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,473 : 89,199 = 89,199 : x
  2. Step 2: Convert to fraction form
    57,473/89,199 = 89,199/x
  3. Step 3: Cross multiply
    57,473x = 89,199 × 89,199
  4. Step 4: Simplify right side
    57,473x = 7,956,461,601
  5. Step 5: Solve for x
    x = 7,956,461,601/57,473
  6. Step 6: Final answer
    x = 138,438.25

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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.