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Finding the Third Proportional to 83,670.75 and 117,298.13

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Solution

The third proportional to 83,670.75 and 117,298.13 is: 164,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670.75 : 117,298.13 = 117,298.13 : x
  2. Step 2: Convert to fraction form
    83,670.75/117,298.13 = 117,298.13/x
  3. Step 3: Cross multiply
    83,670.75x = 117,298.13 × 117,298.13
  4. Step 4: Simplify right side
    83,670.75x = 13,758,850,128.52
  5. Step 5: Solve for x
    x = 13,758,850,128.52/83,670.75
  6. Step 6: Final answer
    x = 164,440.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.