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Finding the Third Proportional to 76,761 and 118,417

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Solution

The third proportional to 76,761 and 118,417 is: 182,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761 : 118,417 = 118,417 : x
  2. Step 2: Convert to fraction form
    76,761/118,417 = 118,417/x
  3. Step 3: Cross multiply
    76,761x = 118,417 × 118,417
  4. Step 4: Simplify right side
    76,761x = 14,022,585,889
  5. Step 5: Solve for x
    x = 14,022,585,889/76,761
  6. Step 6: Final answer
    x = 182,678.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.