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Finding the Third Proportional to 48,114 and 70,713

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Solution

The third proportional to 48,114 and 70,713 is: 103,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114 : 70,713 = 70,713 : x
  2. Step 2: Convert to fraction form
    48,114/70,713 = 70,713/x
  3. Step 3: Cross multiply
    48,114x = 70,713 × 70,713
  4. Step 4: Simplify right side
    48,114x = 5,000,328,369
  5. Step 5: Solve for x
    x = 5,000,328,369/48,114
  6. Step 6: Final answer
    x = 103,926.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.