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Finding the Third Proportional to 48,101 and 85,813

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Solution

The third proportional to 48,101 and 85,813 is: 153,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,101 : 85,813 = 85,813 : x
  2. Step 2: Convert to fraction form
    48,101/85,813 = 85,813/x
  3. Step 3: Cross multiply
    48,101x = 85,813 × 85,813
  4. Step 4: Simplify right side
    48,101x = 7,363,870,969
  5. Step 5: Solve for x
    x = 7,363,870,969/48,101
  6. Step 6: Final answer
    x = 153,091.85

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.