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Finding the Third Proportional to 98,190 and 155,729

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Solution

The third proportional to 98,190 and 155,729 is: 246,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,190 : 155,729 = 155,729 : x
  2. Step 2: Convert to fraction form
    98,190/155,729 = 155,729/x
  3. Step 3: Cross multiply
    98,190x = 155,729 × 155,729
  4. Step 4: Simplify right side
    98,190x = 24,251,521,441
  5. Step 5: Solve for x
    x = 24,251,521,441/98,190
  6. Step 6: Final answer
    x = 246,985.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.