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Finding the Third Proportional to 73,891 and 111,612.50

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Solution

The third proportional to 73,891 and 111,612.50 is: 168,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,891 : 111,612.50 = 111,612.50 : x
  2. Step 2: Convert to fraction form
    73,891/111,612.50 = 111,612.50/x
  3. Step 3: Cross multiply
    73,891x = 111,612.50 × 111,612.50
  4. Step 4: Simplify right side
    73,891x = 12,457,350,156.25
  5. Step 5: Solve for x
    x = 12,457,350,156.25/73,891
  6. Step 6: Final answer
    x = 168,590.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.