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Finding the Third Proportional to 121,332 and 185,862

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Solution

The third proportional to 121,332 and 185,862 is: 284,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,332 : 185,862 = 185,862 : x
  2. Step 2: Convert to fraction form
    121,332/185,862 = 185,862/x
  3. Step 3: Cross multiply
    121,332x = 185,862 × 185,862
  4. Step 4: Simplify right side
    121,332x = 34,544,683,044
  5. Step 5: Solve for x
    x = 34,544,683,044/121,332
  6. Step 6: Final answer
    x = 284,712.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.