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Finding the Third Proportional to 137,776 and 195,006

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Solution

The third proportional to 137,776 and 195,006 is: 276,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,776 : 195,006 = 195,006 : x
  2. Step 2: Convert to fraction form
    137,776/195,006 = 195,006/x
  3. Step 3: Cross multiply
    137,776x = 195,006 × 195,006
  4. Step 4: Simplify right side
    137,776x = 38,027,340,036
  5. Step 5: Solve for x
    x = 38,027,340,036/137,776
  6. Step 6: Final answer
    x = 276,008.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.