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Finding the Third Proportional to 76,122 and 118,791

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Solution

The third proportional to 76,122 and 118,791 is: 185,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122 : 118,791 = 118,791 : x
  2. Step 2: Convert to fraction form
    76,122/118,791 = 118,791/x
  3. Step 3: Cross multiply
    76,122x = 118,791 × 118,791
  4. Step 4: Simplify right side
    76,122x = 14,111,301,681
  5. Step 5: Solve for x
    x = 14,111,301,681/76,122
  6. Step 6: Final answer
    x = 185,377.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.