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Finding the Third Proportional to 48,138 and 70,752

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Solution

The third proportional to 48,138 and 70,752 is: 103,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,138 : 70,752 = 70,752 : x
  2. Step 2: Convert to fraction form
    48,138/70,752 = 70,752/x
  3. Step 3: Cross multiply
    48,138x = 70,752 × 70,752
  4. Step 4: Simplify right side
    48,138x = 5,005,845,504
  5. Step 5: Solve for x
    x = 5,005,845,504/48,138
  6. Step 6: Final answer
    x = 103,989.48

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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.