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Finding the Third Proportional to 61,195 and 89,130

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Solution

The third proportional to 61,195 and 89,130 is: 129,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,195 : 89,130 = 89,130 : x
  2. Step 2: Convert to fraction form
    61,195/89,130 = 89,130/x
  3. Step 3: Cross multiply
    61,195x = 89,130 × 89,130
  4. Step 4: Simplify right side
    61,195x = 7,944,156,900
  5. Step 5: Solve for x
    x = 7,944,156,900/61,195
  6. Step 6: Final answer
    x = 129,817.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.