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Finding the Third Proportional to 58,068 and 86,874

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Solution

The third proportional to 58,068 and 86,874 is: 129,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,068 : 86,874 = 86,874 : x
  2. Step 2: Convert to fraction form
    58,068/86,874 = 86,874/x
  3. Step 3: Cross multiply
    58,068x = 86,874 × 86,874
  4. Step 4: Simplify right side
    58,068x = 7,547,091,876
  5. Step 5: Solve for x
    x = 7,547,091,876/58,068
  6. Step 6: Final answer
    x = 129,969.90

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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.