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Finding the Third Proportional to 42,150.66 and 90,280.13

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Solution

The third proportional to 42,150.66 and 90,280.13 is: 193,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,150.66 : 90,280.13 = 90,280.13 : x
  2. Step 2: Convert to fraction form
    42,150.66/90,280.13 = 90,280.13/x
  3. Step 3: Cross multiply
    42,150.66x = 90,280.13 × 90,280.13
  4. Step 4: Simplify right side
    42,150.66x = 8,150,500,970.02
  5. Step 5: Solve for x
    x = 8,150,500,970.02/42,150.66
  6. Step 6: Final answer
    x = 193,365.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.