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Finding the Third Proportional to 118,963 and 161,488

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Solution

The third proportional to 118,963 and 161,488 is: 219,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,963 : 161,488 = 161,488 : x
  2. Step 2: Convert to fraction form
    118,963/161,488 = 161,488/x
  3. Step 3: Cross multiply
    118,963x = 161,488 × 161,488
  4. Step 4: Simplify right side
    118,963x = 26,078,374,144
  5. Step 5: Solve for x
    x = 26,078,374,144/118,963
  6. Step 6: Final answer
    x = 219,214.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.