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Finding the Third Proportional to 89,678.25 and 134,730

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Solution

The third proportional to 89,678.25 and 134,730 is: 202,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,678.25 : 134,730 = 134,730 : x
  2. Step 2: Convert to fraction form
    89,678.25/134,730 = 134,730/x
  3. Step 3: Cross multiply
    89,678.25x = 134,730 × 134,730
  4. Step 4: Simplify right side
    89,678.25x = 18,152,172,900
  5. Step 5: Solve for x
    x = 18,152,172,900/89,678.25
  6. Step 6: Final answer
    x = 202,414.44

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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.