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Finding the Third Proportional to 124,377.25 and 197,262.25

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Solution

The third proportional to 124,377.25 and 197,262.25 is: 312,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,377.25 : 197,262.25 = 197,262.25 : x
  2. Step 2: Convert to fraction form
    124,377.25/197,262.25 = 197,262.25/x
  3. Step 3: Cross multiply
    124,377.25x = 197,262.25 × 197,262.25
  4. Step 4: Simplify right side
    124,377.25x = 38,912,395,275.06
  5. Step 5: Solve for x
    x = 38,912,395,275.06/124,377.25
  6. Step 6: Final answer
    x = 312,857.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.