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Finding the Third Proportional to 115,042 and 235,659

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Solution

The third proportional to 115,042 and 235,659 is: 482,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,042 : 235,659 = 235,659 : x
  2. Step 2: Convert to fraction form
    115,042/235,659 = 235,659/x
  3. Step 3: Cross multiply
    115,042x = 235,659 × 235,659
  4. Step 4: Simplify right side
    115,042x = 55,535,164,281
  5. Step 5: Solve for x
    x = 55,535,164,281/115,042
  6. Step 6: Final answer
    x = 482,738.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.