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Finding the Third Proportional to 119,548 and 179,070

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Solution

The third proportional to 119,548 and 179,070 is: 268,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,548 : 179,070 = 179,070 : x
  2. Step 2: Convert to fraction form
    119,548/179,070 = 179,070/x
  3. Step 3: Cross multiply
    119,548x = 179,070 × 179,070
  4. Step 4: Simplify right side
    119,548x = 32,066,064,900
  5. Step 5: Solve for x
    x = 32,066,064,900/119,548
  6. Step 6: Final answer
    x = 268,227.53

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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.