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Finding the Third Proportional to 76,417 and 118,087

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Solution

The third proportional to 76,417 and 118,087 is: 182,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,417 : 118,087 = 118,087 : x
  2. Step 2: Convert to fraction form
    76,417/118,087 = 118,087/x
  3. Step 3: Cross multiply
    76,417x = 118,087 × 118,087
  4. Step 4: Simplify right side
    76,417x = 13,944,539,569
  5. Step 5: Solve for x
    x = 13,944,539,569/76,417
  6. Step 6: Final answer
    x = 182,479.55

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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.