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Finding the Third Proportional to 65,882 and 101,343

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Solution

The third proportional to 65,882 and 101,343 is: 155,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882 : 101,343 = 101,343 : x
  2. Step 2: Convert to fraction form
    65,882/101,343 = 101,343/x
  3. Step 3: Cross multiply
    65,882x = 101,343 × 101,343
  4. Step 4: Simplify right side
    65,882x = 10,270,403,649
  5. Step 5: Solve for x
    x = 10,270,403,649/65,882
  6. Step 6: Final answer
    x = 155,890.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.