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Finding the Third Proportional to 59,742 and 88,251

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Solution

The third proportional to 59,742 and 88,251 is: 130,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,742 : 88,251 = 88,251 : x
  2. Step 2: Convert to fraction form
    59,742/88,251 = 88,251/x
  3. Step 3: Cross multiply
    59,742x = 88,251 × 88,251
  4. Step 4: Simplify right side
    59,742x = 7,788,239,001
  5. Step 5: Solve for x
    x = 7,788,239,001/59,742
  6. Step 6: Final answer
    x = 130,364.55

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.