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Finding the Third Proportional to 52,283 and 112,151

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Solution

The third proportional to 52,283 and 112,151 is: 240,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,283 : 112,151 = 112,151 : x
  2. Step 2: Convert to fraction form
    52,283/112,151 = 112,151/x
  3. Step 3: Cross multiply
    52,283x = 112,151 × 112,151
  4. Step 4: Simplify right side
    52,283x = 12,577,846,801
  5. Step 5: Solve for x
    x = 12,577,846,801/52,283
  6. Step 6: Final answer
    x = 240,572.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.