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Finding the Third Proportional to 112,295 and 168,898

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Solution

The third proportional to 112,295 and 168,898 is: 254,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,295 : 168,898 = 168,898 : x
  2. Step 2: Convert to fraction form
    112,295/168,898 = 168,898/x
  3. Step 3: Cross multiply
    112,295x = 168,898 × 168,898
  4. Step 4: Simplify right side
    112,295x = 28,526,534,404
  5. Step 5: Solve for x
    x = 28,526,534,404/112,295
  6. Step 6: Final answer
    x = 254,032.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.