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Finding the Third Proportional to 65,544 and 98,854

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Solution

The third proportional to 65,544 and 98,854 is: 149,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,544 : 98,854 = 98,854 : x
  2. Step 2: Convert to fraction form
    65,544/98,854 = 98,854/x
  3. Step 3: Cross multiply
    65,544x = 98,854 × 98,854
  4. Step 4: Simplify right side
    65,544x = 9,772,113,316
  5. Step 5: Solve for x
    x = 9,772,113,316/65,544
  6. Step 6: Final answer
    x = 149,092.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.