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Finding the Third Proportional to 124,938 and 199,827

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Solution

The third proportional to 124,938 and 199,827 is: 319,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,938 : 199,827 = 199,827 : x
  2. Step 2: Convert to fraction form
    124,938/199,827 = 199,827/x
  3. Step 3: Cross multiply
    124,938x = 199,827 × 199,827
  4. Step 4: Simplify right side
    124,938x = 39,930,829,929
  5. Step 5: Solve for x
    x = 39,930,829,929/124,938
  6. Step 6: Final answer
    x = 319,605.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.