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Finding the Third Proportional to 124,938 and 197,662

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Solution

The third proportional to 124,938 and 197,662 is: 312,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,938 : 197,662 = 197,662 : x
  2. Step 2: Convert to fraction form
    124,938/197,662 = 197,662/x
  3. Step 3: Cross multiply
    124,938x = 197,662 × 197,662
  4. Step 4: Simplify right side
    124,938x = 39,070,266,244
  5. Step 5: Solve for x
    x = 39,070,266,244/124,938
  6. Step 6: Final answer
    x = 312,717.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.