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Finding the Third Proportional to 48,127.50 and 74,070.75

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Solution

The third proportional to 48,127.50 and 74,070.75 is: 113,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,127.50 : 74,070.75 = 74,070.75 : x
  2. Step 2: Convert to fraction form
    48,127.50/74,070.75 = 74,070.75/x
  3. Step 3: Cross multiply
    48,127.50x = 74,070.75 × 74,070.75
  4. Step 4: Simplify right side
    48,127.50x = 5,486,476,005.56
  5. Step 5: Solve for x
    x = 5,486,476,005.56/48,127.50
  6. Step 6: Final answer
    x = 113,998.77

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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.