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Finding the Third Proportional to 121,038 and 186,661

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Solution

The third proportional to 121,038 and 186,661 is: 287,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,038 : 186,661 = 186,661 : x
  2. Step 2: Convert to fraction form
    121,038/186,661 = 186,661/x
  3. Step 3: Cross multiply
    121,038x = 186,661 × 186,661
  4. Step 4: Simplify right side
    121,038x = 34,842,328,921
  5. Step 5: Solve for x
    x = 34,842,328,921/121,038
  6. Step 6: Final answer
    x = 287,862.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.