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Finding the Third Proportional to 128,998 and 195,443

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Solution

The third proportional to 128,998 and 195,443 is: 296,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,998 : 195,443 = 195,443 : x
  2. Step 2: Convert to fraction form
    128,998/195,443 = 195,443/x
  3. Step 3: Cross multiply
    128,998x = 195,443 × 195,443
  4. Step 4: Simplify right side
    128,998x = 38,197,966,249
  5. Step 5: Solve for x
    x = 38,197,966,249/128,998
  6. Step 6: Final answer
    x = 296,112.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.