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Finding the Third Proportional to 52,001 and 112,305

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Solution

The third proportional to 52,001 and 112,305 is: 242,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001 : 112,305 = 112,305 : x
  2. Step 2: Convert to fraction form
    52,001/112,305 = 112,305/x
  3. Step 3: Cross multiply
    52,001x = 112,305 × 112,305
  4. Step 4: Simplify right side
    52,001x = 12,612,413,025
  5. Step 5: Solve for x
    x = 12,612,413,025/52,001
  6. Step 6: Final answer
    x = 242,541.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.