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Finding the Third Proportional to 76,506 and 118,167

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Solution

The third proportional to 76,506 and 118,167 is: 182,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506 : 118,167 = 118,167 : x
  2. Step 2: Convert to fraction form
    76,506/118,167 = 118,167/x
  3. Step 3: Cross multiply
    76,506x = 118,167 × 118,167
  4. Step 4: Simplify right side
    76,506x = 13,963,439,889
  5. Step 5: Solve for x
    x = 13,963,439,889/76,506
  6. Step 6: Final answer
    x = 182,514.31

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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.