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Finding the Third Proportional to 59,985 and 129,051

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Solution

The third proportional to 59,985 and 129,051 is: 277,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,985 : 129,051 = 129,051 : x
  2. Step 2: Convert to fraction form
    59,985/129,051 = 129,051/x
  3. Step 3: Cross multiply
    59,985x = 129,051 × 129,051
  4. Step 4: Simplify right side
    59,985x = 16,654,160,601
  5. Step 5: Solve for x
    x = 16,654,160,601/59,985
  6. Step 6: Final answer
    x = 277,638.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.