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Finding the Third Proportional to 65,669 and 101,583

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Solution

The third proportional to 65,669 and 101,583 is: 157,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,669 : 101,583 = 101,583 : x
  2. Step 2: Convert to fraction form
    65,669/101,583 = 101,583/x
  3. Step 3: Cross multiply
    65,669x = 101,583 × 101,583
  4. Step 4: Simplify right side
    65,669x = 10,319,105,889
  5. Step 5: Solve for x
    x = 10,319,105,889/65,669
  6. Step 6: Final answer
    x = 157,138.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.