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Finding the Third Proportional to 83,920.13 and 128,071.88

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Solution

The third proportional to 83,920.13 and 128,071.88 is: 195,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.13 : 128,071.88 = 128,071.88 : x
  2. Step 2: Convert to fraction form
    83,920.13/128,071.88 = 128,071.88/x
  3. Step 3: Cross multiply
    83,920.13x = 128,071.88 × 128,071.88
  4. Step 4: Simplify right side
    83,920.13x = 16,402,405,166.02
  5. Step 5: Solve for x
    x = 16,402,405,166.02/83,920.13
  6. Step 6: Final answer
    x = 195,452.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.