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Finding the Third Proportional to 118,524 and 183,402

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Solution

The third proportional to 118,524 and 183,402 is: 283,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,524 : 183,402 = 183,402 : x
  2. Step 2: Convert to fraction form
    118,524/183,402 = 183,402/x
  3. Step 3: Cross multiply
    118,524x = 183,402 × 183,402
  4. Step 4: Simplify right side
    118,524x = 33,636,293,604
  5. Step 5: Solve for x
    x = 33,636,293,604/118,524
  6. Step 6: Final answer
    x = 283,793.10

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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.