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Finding the Third Proportional to 68,293.13 and 103,392.56

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Solution

The third proportional to 68,293.13 and 103,392.56 is: 156,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,293.13 : 103,392.56 = 103,392.56 : x
  2. Step 2: Convert to fraction form
    68,293.13/103,392.56 = 103,392.56/x
  3. Step 3: Cross multiply
    68,293.13x = 103,392.56 × 103,392.56
  4. Step 4: Simplify right side
    68,293.13x = 10,690,021,980.32
  5. Step 5: Solve for x
    x = 10,690,021,980.32/68,293.13
  6. Step 6: Final answer
    x = 156,531.45

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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.