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Finding the Third Proportional to 119,646 and 174,276

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Solution

The third proportional to 119,646 and 174,276 is: 253,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,646 : 174,276 = 174,276 : x
  2. Step 2: Convert to fraction form
    119,646/174,276 = 174,276/x
  3. Step 3: Cross multiply
    119,646x = 174,276 × 174,276
  4. Step 4: Simplify right side
    119,646x = 30,372,124,176
  5. Step 5: Solve for x
    x = 30,372,124,176/119,646
  6. Step 6: Final answer
    x = 253,849.89

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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.