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Finding the Third Proportional to 48,199.50 and 75,376.13

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Solution

The third proportional to 48,199.50 and 75,376.13 is: 117,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,199.50 : 75,376.13 = 75,376.13 : x
  2. Step 2: Convert to fraction form
    48,199.50/75,376.13 = 75,376.13/x
  3. Step 3: Cross multiply
    48,199.50x = 75,376.13 × 75,376.13
  4. Step 4: Simplify right side
    48,199.50x = 5,681,560,220.02
  5. Step 5: Solve for x
    x = 5,681,560,220.02/48,199.50
  6. Step 6: Final answer
    x = 117,875.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.