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Finding the Third Proportional to 68,701.38 and 109,285.63

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Solution

The third proportional to 68,701.38 and 109,285.63 is: 173,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,701.38 : 109,285.63 = 109,285.63 : x
  2. Step 2: Convert to fraction form
    68,701.38/109,285.63 = 109,285.63/x
  3. Step 3: Cross multiply
    68,701.38x = 109,285.63 × 109,285.63
  4. Step 4: Simplify right side
    68,701.38x = 11,943,347,831.64
  5. Step 5: Solve for x
    x = 11,943,347,831.64/68,701.38
  6. Step 6: Final answer
    x = 173,844.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.