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Finding the Third Proportional to 48,658 and 73,203

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Solution

The third proportional to 48,658 and 73,203 is: 110,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658 : 73,203 = 73,203 : x
  2. Step 2: Convert to fraction form
    48,658/73,203 = 73,203/x
  3. Step 3: Cross multiply
    48,658x = 73,203 × 73,203
  4. Step 4: Simplify right side
    48,658x = 5,358,679,209
  5. Step 5: Solve for x
    x = 5,358,679,209/48,658
  6. Step 6: Final answer
    x = 110,129.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.