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Finding the Third Proportional to 112,251.38 and 237,146.63

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Solution

The third proportional to 112,251.38 and 237,146.63 is: 501,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,251.38 : 237,146.63 = 237,146.63 : x
  2. Step 2: Convert to fraction form
    112,251.38/237,146.63 = 237,146.63/x
  3. Step 3: Cross multiply
    112,251.38x = 237,146.63 × 237,146.63
  4. Step 4: Simplify right side
    112,251.38x = 56,238,521,748.89
  5. Step 5: Solve for x
    x = 56,238,521,748.89/112,251.38
  6. Step 6: Final answer
    x = 501,005.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.