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Finding the Third Proportional to 48,610 and 75,103

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Solution

The third proportional to 48,610 and 75,103 is: 116,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,610 : 75,103 = 75,103 : x
  2. Step 2: Convert to fraction form
    48,610/75,103 = 75,103/x
  3. Step 3: Cross multiply
    48,610x = 75,103 × 75,103
  4. Step 4: Simplify right side
    48,610x = 5,640,460,609
  5. Step 5: Solve for x
    x = 5,640,460,609/48,610
  6. Step 6: Final answer
    x = 116,034.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.