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Finding the Third Proportional to 48,681 and 75,171

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Solution

The third proportional to 48,681 and 75,171 is: 116,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681 : 75,171 = 75,171 : x
  2. Step 2: Convert to fraction form
    48,681/75,171 = 75,171/x
  3. Step 3: Cross multiply
    48,681x = 75,171 × 75,171
  4. Step 4: Simplify right side
    48,681x = 5,650,679,241
  5. Step 5: Solve for x
    x = 5,650,679,241/48,681
  6. Step 6: Final answer
    x = 116,075.66

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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.