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Finding the Third Proportional to 112,853 and 171,495

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Solution

The third proportional to 112,853 and 171,495 is: 260,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,853 : 171,495 = 171,495 : x
  2. Step 2: Convert to fraction form
    112,853/171,495 = 171,495/x
  3. Step 3: Cross multiply
    112,853x = 171,495 × 171,495
  4. Step 4: Simplify right side
    112,853x = 29,410,535,025
  5. Step 5: Solve for x
    x = 29,410,535,025/112,853
  6. Step 6: Final answer
    x = 260,609.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.