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Finding the Third Proportional to 48,714 and 75,123

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Solution

The third proportional to 48,714 and 75,123 is: 115,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,714 : 75,123 = 75,123 : x
  2. Step 2: Convert to fraction form
    48,714/75,123 = 75,123/x
  3. Step 3: Cross multiply
    48,714x = 75,123 × 75,123
  4. Step 4: Simplify right side
    48,714x = 5,643,465,129
  5. Step 5: Solve for x
    x = 5,643,465,129/48,714
  6. Step 6: Final answer
    x = 115,848.94

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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.