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Finding the Third Proportional to 57,488 and 88,784

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Solution

The third proportional to 57,488 and 88,784 is: 137,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,488 : 88,784 = 88,784 : x
  2. Step 2: Convert to fraction form
    57,488/88,784 = 88,784/x
  3. Step 3: Cross multiply
    57,488x = 88,784 × 88,784
  4. Step 4: Simplify right side
    57,488x = 7,882,598,656
  5. Step 5: Solve for x
    x = 7,882,598,656/57,488
  6. Step 6: Final answer
    x = 137,117.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.