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Finding the Third Proportional to 112,549.50 and 237,762

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Solution

The third proportional to 112,549.50 and 237,762 is: 502,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,549.50 : 237,762 = 237,762 : x
  2. Step 2: Convert to fraction form
    112,549.50/237,762 = 237,762/x
  3. Step 3: Cross multiply
    112,549.50x = 237,762 × 237,762
  4. Step 4: Simplify right side
    112,549.50x = 56,530,768,644
  5. Step 5: Solve for x
    x = 56,530,768,644/112,549.50
  6. Step 6: Final answer
    x = 502,274.72

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