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Finding the Third Proportional to 118,929 and 182,160

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Solution

The third proportional to 118,929 and 182,160 is: 279,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,929 : 182,160 = 182,160 : x
  2. Step 2: Convert to fraction form
    118,929/182,160 = 182,160/x
  3. Step 3: Cross multiply
    118,929x = 182,160 × 182,160
  4. Step 4: Simplify right side
    118,929x = 33,182,265,600
  5. Step 5: Solve for x
    x = 33,182,265,600/118,929
  6. Step 6: Final answer
    x = 279,009.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.