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Finding the Third Proportional to 112,494 and 237,637

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Solution

The third proportional to 112,494 and 237,637 is: 501,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,494 : 237,637 = 237,637 : x
  2. Step 2: Convert to fraction form
    112,494/237,637 = 237,637/x
  3. Step 3: Cross multiply
    112,494x = 237,637 × 237,637
  4. Step 4: Simplify right side
    112,494x = 56,471,343,769
  5. Step 5: Solve for x
    x = 56,471,343,769/112,494
  6. Step 6: Final answer
    x = 501,994.27

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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.