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Finding the Third Proportional to 61,504.73 and 100,432.41

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Solution

The third proportional to 61,504.73 and 100,432.41 is: 163,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,504.73 : 100,432.41 = 100,432.41 : x
  2. Step 2: Convert to fraction form
    61,504.73/100,432.41 = 100,432.41/x
  3. Step 3: Cross multiply
    61,504.73x = 100,432.41 × 100,432.41
  4. Step 4: Simplify right side
    61,504.73x = 10,086,668,225.17
  5. Step 5: Solve for x
    x = 10,086,668,225.17/61,504.73
  6. Step 6: Final answer
    x = 163,998.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.