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Finding the Third Proportional to 65,532 and 98,364

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Solution

The third proportional to 65,532 and 98,364 is: 147,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,532 : 98,364 = 98,364 : x
  2. Step 2: Convert to fraction form
    65,532/98,364 = 98,364/x
  3. Step 3: Cross multiply
    65,532x = 98,364 × 98,364
  4. Step 4: Simplify right side
    65,532x = 9,675,476,496
  5. Step 5: Solve for x
    x = 9,675,476,496/65,532
  6. Step 6: Final answer
    x = 147,645.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.