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Finding the Third Proportional to 48,205.13 and 74,140.88

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Solution

The third proportional to 48,205.13 and 74,140.88 is: 114,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.13 : 74,140.88 = 74,140.88 : x
  2. Step 2: Convert to fraction form
    48,205.13/74,140.88 = 74,140.88/x
  3. Step 3: Cross multiply
    48,205.13x = 74,140.88 × 74,140.88
  4. Step 4: Simplify right side
    48,205.13x = 5,496,869,345.77
  5. Step 5: Solve for x
    x = 5,496,869,345.77/48,205.13
  6. Step 6: Final answer
    x = 114,030.81

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Why These Related Problems?

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