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Finding the Third Proportional to 77,712 and 118,008

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Solution

The third proportional to 77,712 and 118,008 is: 179,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 118,008 = 118,008 : x
  2. Step 2: Convert to fraction form
    77,712/118,008 = 118,008/x
  3. Step 3: Cross multiply
    77,712x = 118,008 × 118,008
  4. Step 4: Simplify right side
    77,712x = 13,925,888,064
  5. Step 5: Solve for x
    x = 13,925,888,064/77,712
  6. Step 6: Final answer
    x = 179,198.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.