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Finding the Third Proportional to 118,648.13 and 255,942

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Solution

The third proportional to 118,648.13 and 255,942 is: 552,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,648.13 : 255,942 = 255,942 : x
  2. Step 2: Convert to fraction form
    118,648.13/255,942 = 255,942/x
  3. Step 3: Cross multiply
    118,648.13x = 255,942 × 255,942
  4. Step 4: Simplify right side
    118,648.13x = 65,506,307,364
  5. Step 5: Solve for x
    x = 65,506,307,364/118,648.13
  6. Step 6: Final answer
    x = 552,105.71

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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.