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Finding the Third Proportional to 65,668 and 101,040

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Solution

The third proportional to 65,668 and 101,040 is: 155,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,668 : 101,040 = 101,040 : x
  2. Step 2: Convert to fraction form
    65,668/101,040 = 101,040/x
  3. Step 3: Cross multiply
    65,668x = 101,040 × 101,040
  4. Step 4: Simplify right side
    65,668x = 10,209,081,600
  5. Step 5: Solve for x
    x = 10,209,081,600/65,668
  6. Step 6: Final answer
    x = 155,465.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.