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Finding the Third Proportional to 51,596 and 112,588

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Solution

The third proportional to 51,596 and 112,588 is: 245,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,596 : 112,588 = 112,588 : x
  2. Step 2: Convert to fraction form
    51,596/112,588 = 112,588/x
  3. Step 3: Cross multiply
    51,596x = 112,588 × 112,588
  4. Step 4: Simplify right side
    51,596x = 12,676,057,744
  5. Step 5: Solve for x
    x = 12,676,057,744/51,596
  6. Step 6: Final answer
    x = 245,679.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.