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Finding the Third Proportional to 112,695 and 237,965

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Solution

The third proportional to 112,695 and 237,965 is: 502,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,695 : 237,965 = 237,965 : x
  2. Step 2: Convert to fraction form
    112,695/237,965 = 237,965/x
  3. Step 3: Cross multiply
    112,695x = 237,965 × 237,965
  4. Step 4: Simplify right side
    112,695x = 56,627,341,225
  5. Step 5: Solve for x
    x = 56,627,341,225/112,695
  6. Step 6: Final answer
    x = 502,483.17

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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.