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Finding the Third Proportional to 112,699 and 174,414

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Solution

The third proportional to 112,699 and 174,414 is: 269,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,699 : 174,414 = 174,414 : x
  2. Step 2: Convert to fraction form
    112,699/174,414 = 174,414/x
  3. Step 3: Cross multiply
    112,699x = 174,414 × 174,414
  4. Step 4: Simplify right side
    112,699x = 30,420,243,396
  5. Step 5: Solve for x
    x = 30,420,243,396/112,699
  6. Step 6: Final answer
    x = 269,924.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.