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Finding the Third Proportional to 112,501 and 237,651

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Solution

The third proportional to 112,501 and 237,651 is: 502,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,501 : 237,651 = 237,651 : x
  2. Step 2: Convert to fraction form
    112,501/237,651 = 237,651/x
  3. Step 3: Cross multiply
    112,501x = 237,651 × 237,651
  4. Step 4: Simplify right side
    112,501x = 56,477,997,801
  5. Step 5: Solve for x
    x = 56,477,997,801/112,501
  6. Step 6: Final answer
    x = 502,022.18

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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.