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Finding the Third Proportional to 48,417.50 and 104,878

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Solution

The third proportional to 48,417.50 and 104,878 is: 227,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,417.50 : 104,878 = 104,878 : x
  2. Step 2: Convert to fraction form
    48,417.50/104,878 = 104,878/x
  3. Step 3: Cross multiply
    48,417.50x = 104,878 × 104,878
  4. Step 4: Simplify right side
    48,417.50x = 10,999,394,884
  5. Step 5: Solve for x
    x = 10,999,394,884/48,417.50
  6. Step 6: Final answer
    x = 227,178.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.