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Finding the Third Proportional to 99,318 and 153,879

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Solution

The third proportional to 99,318 and 153,879 is: 238,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,318 : 153,879 = 153,879 : x
  2. Step 2: Convert to fraction form
    99,318/153,879 = 153,879/x
  3. Step 3: Cross multiply
    99,318x = 153,879 × 153,879
  4. Step 4: Simplify right side
    99,318x = 23,678,746,641
  5. Step 5: Solve for x
    x = 23,678,746,641/99,318
  6. Step 6: Final answer
    x = 238,413.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.