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Finding the Third Proportional to 78,644.63 and 125,092.88

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Solution

The third proportional to 78,644.63 and 125,092.88 is: 198,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644.63 : 125,092.88 = 125,092.88 : x
  2. Step 2: Convert to fraction form
    78,644.63/125,092.88 = 125,092.88/x
  3. Step 3: Cross multiply
    78,644.63x = 125,092.88 × 125,092.88
  4. Step 4: Simplify right side
    78,644.63x = 15,648,227,375.77
  5. Step 5: Solve for x
    x = 15,648,227,375.77/78,644.63
  6. Step 6: Final answer
    x = 198,973.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.