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Finding the Third Proportional to 101,360 and 215,842

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Solution

The third proportional to 101,360 and 215,842 is: 459,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,360 : 215,842 = 215,842 : x
  2. Step 2: Convert to fraction form
    101,360/215,842 = 215,842/x
  3. Step 3: Cross multiply
    101,360x = 215,842 × 215,842
  4. Step 4: Simplify right side
    101,360x = 46,587,768,964
  5. Step 5: Solve for x
    x = 46,587,768,964/101,360
  6. Step 6: Final answer
    x = 459,626.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.