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Finding the Third Proportional to 52,029 and 112,251

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Solution

The third proportional to 52,029 and 112,251 is: 242,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029 : 112,251 = 112,251 : x
  2. Step 2: Convert to fraction form
    52,029/112,251 = 112,251/x
  3. Step 3: Cross multiply
    52,029x = 112,251 × 112,251
  4. Step 4: Simplify right side
    52,029x = 12,600,287,001
  5. Step 5: Solve for x
    x = 12,600,287,001/52,029
  6. Step 6: Final answer
    x = 242,178.15

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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.