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Finding the Third Proportional to 118,940 and 184,561

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Solution

The third proportional to 118,940 and 184,561 is: 286,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,940 : 184,561 = 184,561 : x
  2. Step 2: Convert to fraction form
    118,940/184,561 = 184,561/x
  3. Step 3: Cross multiply
    118,940x = 184,561 × 184,561
  4. Step 4: Simplify right side
    118,940x = 34,062,762,721
  5. Step 5: Solve for x
    x = 34,062,762,721/118,940
  6. Step 6: Final answer
    x = 286,386.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.