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Finding the Third Proportional to 76,502 and 118,164

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Solution

The third proportional to 76,502 and 118,164 is: 182,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502 : 118,164 = 118,164 : x
  2. Step 2: Convert to fraction form
    76,502/118,164 = 118,164/x
  3. Step 3: Cross multiply
    76,502x = 118,164 × 118,164
  4. Step 4: Simplify right side
    76,502x = 13,962,730,896
  5. Step 5: Solve for x
    x = 13,962,730,896/76,502
  6. Step 6: Final answer
    x = 182,514.59

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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.