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Finding the Third Proportional to 45,310 and 106,616

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Solution

The third proportional to 45,310 and 106,616 is: 250,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,310 : 106,616 = 106,616 : x
  2. Step 2: Convert to fraction form
    45,310/106,616 = 106,616/x
  3. Step 3: Cross multiply
    45,310x = 106,616 × 106,616
  4. Step 4: Simplify right side
    45,310x = 11,366,971,456
  5. Step 5: Solve for x
    x = 11,366,971,456/45,310
  6. Step 6: Final answer
    x = 250,871.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.