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Finding the Third Proportional to 58,682 and 88,304

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Solution

The third proportional to 58,682 and 88,304 is: 132,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,682 : 88,304 = 88,304 : x
  2. Step 2: Convert to fraction form
    58,682/88,304 = 88,304/x
  3. Step 3: Cross multiply
    58,682x = 88,304 × 88,304
  4. Step 4: Simplify right side
    58,682x = 7,797,596,416
  5. Step 5: Solve for x
    x = 7,797,596,416/58,682
  6. Step 6: Final answer
    x = 132,878.85

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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.