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Finding the Third Proportional to 48,708 and 75,114

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Solution

The third proportional to 48,708 and 75,114 is: 115,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708 : 75,114 = 75,114 : x
  2. Step 2: Convert to fraction form
    48,708/75,114 = 75,114/x
  3. Step 3: Cross multiply
    48,708x = 75,114 × 75,114
  4. Step 4: Simplify right side
    48,708x = 5,642,112,996
  5. Step 5: Solve for x
    x = 5,642,112,996/48,708
  6. Step 6: Final answer
    x = 115,835.45

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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.