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Finding the Third Proportional to 42,117 and 90,068

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Solution

The third proportional to 42,117 and 90,068 is: 192,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,117 : 90,068 = 90,068 : x
  2. Step 2: Convert to fraction form
    42,117/90,068 = 90,068/x
  3. Step 3: Cross multiply
    42,117x = 90,068 × 90,068
  4. Step 4: Simplify right side
    42,117x = 8,112,244,624
  5. Step 5: Solve for x
    x = 8,112,244,624/42,117
  6. Step 6: Final answer
    x = 192,612.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.