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Finding the Third Proportional to 121,891.50 and 148,925.25

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Solution

The third proportional to 121,891.50 and 148,925.25 is: 181,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,891.50 : 148,925.25 = 148,925.25 : x
  2. Step 2: Convert to fraction form
    121,891.50/148,925.25 = 148,925.25/x
  3. Step 3: Cross multiply
    121,891.50x = 148,925.25 × 148,925.25
  4. Step 4: Simplify right side
    121,891.50x = 22,178,730,087.56
  5. Step 5: Solve for x
    x = 22,178,730,087.56/121,891.50
  6. Step 6: Final answer
    x = 181,954.69

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.