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Finding the Third Proportional to 65,894 and 99,411

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Solution

The third proportional to 65,894 and 99,411 is: 149,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894 : 99,411 = 99,411 : x
  2. Step 2: Convert to fraction form
    65,894/99,411 = 99,411/x
  3. Step 3: Cross multiply
    65,894x = 99,411 × 99,411
  4. Step 4: Simplify right side
    65,894x = 9,882,546,921
  5. Step 5: Solve for x
    x = 9,882,546,921/65,894
  6. Step 6: Final answer
    x = 149,976.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.