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Finding the Third Proportional to 48,178.13 and 68,482.13

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Solution

The third proportional to 48,178.13 and 68,482.13 is: 97,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,178.13 : 68,482.13 = 68,482.13 : x
  2. Step 2: Convert to fraction form
    48,178.13/68,482.13 = 68,482.13/x
  3. Step 3: Cross multiply
    48,178.13x = 68,482.13 × 68,482.13
  4. Step 4: Simplify right side
    48,178.13x = 4,689,801,444.52
  5. Step 5: Solve for x
    x = 4,689,801,444.52/48,178.13
  6. Step 6: Final answer
    x = 97,342.96

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.