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Finding the Third Proportional to 38,023 and 88,117

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Solution

The third proportional to 38,023 and 88,117 is: 204,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,023 : 88,117 = 88,117 : x
  2. Step 2: Convert to fraction form
    38,023/88,117 = 88,117/x
  3. Step 3: Cross multiply
    38,023x = 88,117 × 88,117
  4. Step 4: Simplify right side
    38,023x = 7,764,605,689
  5. Step 5: Solve for x
    x = 7,764,605,689/38,023
  6. Step 6: Final answer
    x = 204,208.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.