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Finding the Third Proportional to 83,291.25 and 118,707

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Solution

The third proportional to 83,291.25 and 118,707 is: 169,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,291.25 : 118,707 = 118,707 : x
  2. Step 2: Convert to fraction form
    83,291.25/118,707 = 118,707/x
  3. Step 3: Cross multiply
    83,291.25x = 118,707 × 118,707
  4. Step 4: Simplify right side
    83,291.25x = 14,091,351,849
  5. Step 5: Solve for x
    x = 14,091,351,849/83,291.25
  6. Step 6: Final answer
    x = 169,181.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.