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Finding the Third Proportional to 68,368.43 and 103,497.12

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Solution

The third proportional to 68,368.43 and 103,497.12 is: 156,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,368.43 : 103,497.12 = 103,497.12 : x
  2. Step 2: Convert to fraction form
    68,368.43/103,497.12 = 103,497.12/x
  3. Step 3: Cross multiply
    68,368.43x = 103,497.12 × 103,497.12
  4. Step 4: Simplify right side
    68,368.43x = 10,711,653,266.12
  5. Step 5: Solve for x
    x = 10,711,653,266.12/68,368.43
  6. Step 6: Final answer
    x = 156,675.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.