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Finding the Third Proportional to 83,860.50 and 123,117

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Solution

The third proportional to 83,860.50 and 123,117 is: 180,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,860.50 : 123,117 = 123,117 : x
  2. Step 2: Convert to fraction form
    83,860.50/123,117 = 123,117/x
  3. Step 3: Cross multiply
    83,860.50x = 123,117 × 123,117
  4. Step 4: Simplify right side
    83,860.50x = 15,157,795,689
  5. Step 5: Solve for x
    x = 15,157,795,689/83,860.50
  6. Step 6: Final answer
    x = 180,750.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.