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Finding the Third Proportional to 118,263 and 183,609

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Solution

The third proportional to 118,263 and 183,609 is: 285,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,263 : 183,609 = 183,609 : x
  2. Step 2: Convert to fraction form
    118,263/183,609 = 183,609/x
  3. Step 3: Cross multiply
    118,263x = 183,609 × 183,609
  4. Step 4: Simplify right side
    118,263x = 33,712,264,881
  5. Step 5: Solve for x
    x = 33,712,264,881/118,263
  6. Step 6: Final answer
    x = 285,061.81

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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.