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Finding the Third Proportional to 61,609.50 and 89,543.25

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Solution

The third proportional to 61,609.50 and 89,543.25 is: 130,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,609.50 : 89,543.25 = 89,543.25 : x
  2. Step 2: Convert to fraction form
    61,609.50/89,543.25 = 89,543.25/x
  3. Step 3: Cross multiply
    61,609.50x = 89,543.25 × 89,543.25
  4. Step 4: Simplify right side
    61,609.50x = 8,017,993,620.56
  5. Step 5: Solve for x
    x = 8,017,993,620.56/61,609.50
  6. Step 6: Final answer
    x = 130,142.16

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.