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Finding the Third Proportional to 52,304 and 112,096

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Solution

The third proportional to 52,304 and 112,096 is: 240,240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304 : 112,096 = 112,096 : x
  2. Step 2: Convert to fraction form
    52,304/112,096 = 112,096/x
  3. Step 3: Cross multiply
    52,304x = 112,096 × 112,096
  4. Step 4: Simplify right side
    52,304x = 12,565,513,216
  5. Step 5: Solve for x
    x = 12,565,513,216/52,304
  6. Step 6: Final answer
    x = 240,240.00

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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.