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Finding the Third Proportional to 111,163 and 243,931

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Solution

The third proportional to 111,163 and 243,931 is: 535,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,163 : 243,931 = 243,931 : x
  2. Step 2: Convert to fraction form
    111,163/243,931 = 243,931/x
  3. Step 3: Cross multiply
    111,163x = 243,931 × 243,931
  4. Step 4: Simplify right side
    111,163x = 59,502,332,761
  5. Step 5: Solve for x
    x = 59,502,332,761/111,163
  6. Step 6: Final answer
    x = 535,271.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.