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Finding the Third Proportional to 119,738 and 159,776

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Solution

The third proportional to 119,738 and 159,776 is: 213,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,738 : 159,776 = 159,776 : x
  2. Step 2: Convert to fraction form
    119,738/159,776 = 159,776/x
  3. Step 3: Cross multiply
    119,738x = 159,776 × 159,776
  4. Step 4: Simplify right side
    119,738x = 25,528,370,176
  5. Step 5: Solve for x
    x = 25,528,370,176/119,738
  6. Step 6: Final answer
    x = 213,201.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.