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Finding the Third Proportional to 112,023 and 237,165

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Solution

The third proportional to 112,023 and 237,165 is: 502,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,023 : 237,165 = 237,165 : x
  2. Step 2: Convert to fraction form
    112,023/237,165 = 237,165/x
  3. Step 3: Cross multiply
    112,023x = 237,165 × 237,165
  4. Step 4: Simplify right side
    112,023x = 56,247,237,225
  5. Step 5: Solve for x
    x = 56,247,237,225/112,023
  6. Step 6: Final answer
    x = 502,104.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.