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Finding the Third Proportional to 52,396 and 112,190

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Solution

The third proportional to 52,396 and 112,190 is: 240,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,396 : 112,190 = 112,190 : x
  2. Step 2: Convert to fraction form
    52,396/112,190 = 112,190/x
  3. Step 3: Cross multiply
    52,396x = 112,190 × 112,190
  4. Step 4: Simplify right side
    52,396x = 12,586,596,100
  5. Step 5: Solve for x
    x = 12,586,596,100/52,396
  6. Step 6: Final answer
    x = 240,220.55

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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.