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Finding the Third Proportional to 68,259 and 101,862

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Solution

The third proportional to 68,259 and 101,862 is: 152,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,259 : 101,862 = 101,862 : x
  2. Step 2: Convert to fraction form
    68,259/101,862 = 101,862/x
  3. Step 3: Cross multiply
    68,259x = 101,862 × 101,862
  4. Step 4: Simplify right side
    68,259x = 10,375,867,044
  5. Step 5: Solve for x
    x = 10,375,867,044/68,259
  6. Step 6: Final answer
    x = 152,007.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.