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Finding the Third Proportional to 45,431 and 106,117

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Solution

The third proportional to 45,431 and 106,117 is: 247,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,431 : 106,117 = 106,117 : x
  2. Step 2: Convert to fraction form
    45,431/106,117 = 106,117/x
  3. Step 3: Cross multiply
    45,431x = 106,117 × 106,117
  4. Step 4: Simplify right side
    45,431x = 11,260,817,689
  5. Step 5: Solve for x
    x = 11,260,817,689/45,431
  6. Step 6: Final answer
    x = 247,866.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.