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Finding the Third Proportional to 48,181.50 and 75,188.25

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Solution

The third proportional to 48,181.50 and 75,188.25 is: 117,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,181.50 : 75,188.25 = 75,188.25 : x
  2. Step 2: Convert to fraction form
    48,181.50/75,188.25 = 75,188.25/x
  3. Step 3: Cross multiply
    48,181.50x = 75,188.25 × 75,188.25
  4. Step 4: Simplify right side
    48,181.50x = 5,653,272,938.06
  5. Step 5: Solve for x
    x = 5,653,272,938.06/48,181.50
  6. Step 6: Final answer
    x = 117,332.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.