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Finding the Third Proportional to 65,833.63 and 99,331.38

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Solution

The third proportional to 65,833.63 and 99,331.38 is: 149,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833.63 : 99,331.38 = 99,331.38 : x
  2. Step 2: Convert to fraction form
    65,833.63/99,331.38 = 99,331.38/x
  3. Step 3: Cross multiply
    65,833.63x = 99,331.38 × 99,331.38
  4. Step 4: Simplify right side
    65,833.63x = 9,866,722,059.39
  5. Step 5: Solve for x
    x = 9,866,722,059.39/65,833.63
  6. Step 6: Final answer
    x = 149,873.60

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Why These Related Problems?

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