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Finding the Third Proportional to 69,444 and 98,334

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Solution

The third proportional to 69,444 and 98,334 is: 139,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,444 : 98,334 = 98,334 : x
  2. Step 2: Convert to fraction form
    69,444/98,334 = 98,334/x
  3. Step 3: Cross multiply
    69,444x = 98,334 × 98,334
  4. Step 4: Simplify right side
    69,444x = 9,669,575,556
  5. Step 5: Solve for x
    x = 9,669,575,556/69,444
  6. Step 6: Final answer
    x = 139,242.78

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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.