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Finding the Third Proportional to 49,117.50 and 75,086.50

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Solution

The third proportional to 49,117.50 and 75,086.50 is: 114,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117.50 : 75,086.50 = 75,086.50 : x
  2. Step 2: Convert to fraction form
    49,117.50/75,086.50 = 75,086.50/x
  3. Step 3: Cross multiply
    49,117.50x = 75,086.50 × 75,086.50
  4. Step 4: Simplify right side
    49,117.50x = 5,637,982,482.25
  5. Step 5: Solve for x
    x = 5,637,982,482.25/49,117.50
  6. Step 6: Final answer
    x = 114,785.62

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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.