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Finding the Third Proportional to 42,809.06 and 68,177.25

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Solution

The third proportional to 42,809.06 and 68,177.25 is: 108,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,809.06 : 68,177.25 = 68,177.25 : x
  2. Step 2: Convert to fraction form
    42,809.06/68,177.25 = 68,177.25/x
  3. Step 3: Cross multiply
    42,809.06x = 68,177.25 × 68,177.25
  4. Step 4: Simplify right side
    42,809.06x = 4,648,137,417.56
  5. Step 5: Solve for x
    x = 4,648,137,417.56/42,809.06
  6. Step 6: Final answer
    x = 108,578.35

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