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Finding the Third Proportional to 78,421.50 and 121,597.88

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Solution

The third proportional to 78,421.50 and 121,597.88 is: 188,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.50 : 121,597.88 = 121,597.88 : x
  2. Step 2: Convert to fraction form
    78,421.50/121,597.88 = 121,597.88/x
  3. Step 3: Cross multiply
    78,421.50x = 121,597.88 × 121,597.88
  4. Step 4: Simplify right side
    78,421.50x = 14,786,043,204.52
  5. Step 5: Solve for x
    x = 14,786,043,204.52/78,421.50
  6. Step 6: Final answer
    x = 188,545.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.