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Finding the Third Proportional to 61,193.25 and 89,440.88

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Solution

The third proportional to 61,193.25 and 89,440.88 is: 130,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,193.25 : 89,440.88 = 89,440.88 : x
  2. Step 2: Convert to fraction form
    61,193.25/89,440.88 = 89,440.88/x
  3. Step 3: Cross multiply
    61,193.25x = 89,440.88 × 89,440.88
  4. Step 4: Simplify right side
    61,193.25x = 7,999,670,120.77
  5. Step 5: Solve for x
    x = 7,999,670,120.77/61,193.25
  6. Step 6: Final answer
    x = 130,727.98

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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.