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Finding the Third Proportional to 48,205.13 and 74,175.75

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Solution

The third proportional to 48,205.13 and 74,175.75 is: 114,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.13 : 74,175.75 = 74,175.75 : x
  2. Step 2: Convert to fraction form
    48,205.13/74,175.75 = 74,175.75/x
  3. Step 3: Cross multiply
    48,205.13x = 74,175.75 × 74,175.75
  4. Step 4: Simplify right side
    48,205.13x = 5,502,041,888.06
  5. Step 5: Solve for x
    x = 5,502,041,888.06/48,205.13
  6. Step 6: Final answer
    x = 114,138.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.