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Finding the Third Proportional to 58,678 and 88,298

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Solution

The third proportional to 58,678 and 88,298 is: 132,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,678 : 88,298 = 88,298 : x
  2. Step 2: Convert to fraction form
    58,678/88,298 = 88,298/x
  3. Step 3: Cross multiply
    58,678x = 88,298 × 88,298
  4. Step 4: Simplify right side
    58,678x = 7,796,536,804
  5. Step 5: Solve for x
    x = 7,796,536,804/58,678
  6. Step 6: Final answer
    x = 132,869.85

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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.