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Finding the Third Proportional to 61,194.75 and 89,442.75

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Solution

The third proportional to 61,194.75 and 89,442.75 is: 130,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,194.75 : 89,442.75 = 89,442.75 : x
  2. Step 2: Convert to fraction form
    61,194.75/89,442.75 = 89,442.75/x
  3. Step 3: Cross multiply
    61,194.75x = 89,442.75 × 89,442.75
  4. Step 4: Simplify right side
    61,194.75x = 8,000,005,527.56
  5. Step 5: Solve for x
    x = 8,000,005,527.56/61,194.75
  6. Step 6: Final answer
    x = 130,730.26

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Why These Related Problems?

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