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Finding the Third Proportional to 125,041.50 and 164,234.25

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Solution

The third proportional to 125,041.50 and 164,234.25 is: 215,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,041.50 : 164,234.25 = 164,234.25 : x
  2. Step 2: Convert to fraction form
    125,041.50/164,234.25 = 164,234.25/x
  3. Step 3: Cross multiply
    125,041.50x = 164,234.25 × 164,234.25
  4. Step 4: Simplify right side
    125,041.50x = 26,972,888,873.06
  5. Step 5: Solve for x
    x = 26,972,888,873.06/125,041.50
  6. Step 6: Final answer
    x = 215,711.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.