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Finding the Third Proportional to 48,536 and 106,122

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Solution

The third proportional to 48,536 and 106,122 is: 232,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,536 : 106,122 = 106,122 : x
  2. Step 2: Convert to fraction form
    48,536/106,122 = 106,122/x
  3. Step 3: Cross multiply
    48,536x = 106,122 × 106,122
  4. Step 4: Simplify right side
    48,536x = 11,261,878,884
  5. Step 5: Solve for x
    x = 11,261,878,884/48,536
  6. Step 6: Final answer
    x = 232,031.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.