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Finding the Third Proportional to 100,560.50 and 148,494

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Solution

The third proportional to 100,560.50 and 148,494 is: 219,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,560.50 : 148,494 = 148,494 : x
  2. Step 2: Convert to fraction form
    100,560.50/148,494 = 148,494/x
  3. Step 3: Cross multiply
    100,560.50x = 148,494 × 148,494
  4. Step 4: Simplify right side
    100,560.50x = 22,050,468,036
  5. Step 5: Solve for x
    x = 22,050,468,036/100,560.50
  6. Step 6: Final answer
    x = 219,275.64

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.