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Finding the Third Proportional to 65,838 and 99,339

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Solution

The third proportional to 65,838 and 99,339 is: 149,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838 : 99,339 = 99,339 : x
  2. Step 2: Convert to fraction form
    65,838/99,339 = 99,339/x
  3. Step 3: Cross multiply
    65,838x = 99,339 × 99,339
  4. Step 4: Simplify right side
    65,838x = 9,868,236,921
  5. Step 5: Solve for x
    x = 9,868,236,921/65,838
  6. Step 6: Final answer
    x = 149,886.64

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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.