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Finding the Third Proportional to 107,060.48 and 149,689.90

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Solution

The third proportional to 107,060.48 and 149,689.90 is: 209,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,060.48 : 149,689.90 = 149,689.90 : x
  2. Step 2: Convert to fraction form
    107,060.48/149,689.90 = 149,689.90/x
  3. Step 3: Cross multiply
    107,060.48x = 149,689.90 × 149,689.90
  4. Step 4: Simplify right side
    107,060.48x = 22,407,065,694.23
  5. Step 5: Solve for x
    x = 22,407,065,694.23/107,060.48
  6. Step 6: Final answer
    x = 209,293.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.