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Finding the Third Proportional to 59,661 and 88,389

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Solution

The third proportional to 59,661 and 88,389 is: 130,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,661 : 88,389 = 88,389 : x
  2. Step 2: Convert to fraction form
    59,661/88,389 = 88,389/x
  3. Step 3: Cross multiply
    59,661x = 88,389 × 88,389
  4. Step 4: Simplify right side
    59,661x = 7,812,615,321
  5. Step 5: Solve for x
    x = 7,812,615,321/59,661
  6. Step 6: Final answer
    x = 130,950.12

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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.