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Finding the Third Proportional to 111,130 and 239,632

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Solution

The third proportional to 111,130 and 239,632 is: 516,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,130 : 239,632 = 239,632 : x
  2. Step 2: Convert to fraction form
    111,130/239,632 = 239,632/x
  3. Step 3: Cross multiply
    111,130x = 239,632 × 239,632
  4. Step 4: Simplify right side
    111,130x = 57,423,495,424
  5. Step 5: Solve for x
    x = 57,423,495,424/111,130
  6. Step 6: Final answer
    x = 516,723.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.