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Finding the Third Proportional to 59,216 and 88,642

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Solution

The third proportional to 59,216 and 88,642 is: 132,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,216 : 88,642 = 88,642 : x
  2. Step 2: Convert to fraction form
    59,216/88,642 = 88,642/x
  3. Step 3: Cross multiply
    59,216x = 88,642 × 88,642
  4. Step 4: Simplify right side
    59,216x = 7,857,404,164
  5. Step 5: Solve for x
    x = 7,857,404,164/59,216
  6. Step 6: Final answer
    x = 132,690.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.