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Finding the Third Proportional to 119,741 and 174,346

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Solution

The third proportional to 119,741 and 174,346 is: 253,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,741 : 174,346 = 174,346 : x
  2. Step 2: Convert to fraction form
    119,741/174,346 = 174,346/x
  3. Step 3: Cross multiply
    119,741x = 174,346 × 174,346
  4. Step 4: Simplify right side
    119,741x = 30,396,527,716
  5. Step 5: Solve for x
    x = 30,396,527,716/119,741
  6. Step 6: Final answer
    x = 253,852.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.