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Finding the Third Proportional to 66,291 and 96,306

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Solution

The third proportional to 66,291 and 96,306 is: 139,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,291 : 96,306 = 96,306 : x
  2. Step 2: Convert to fraction form
    66,291/96,306 = 96,306/x
  3. Step 3: Cross multiply
    66,291x = 96,306 × 96,306
  4. Step 4: Simplify right side
    66,291x = 9,274,845,636
  5. Step 5: Solve for x
    x = 9,274,845,636/66,291
  6. Step 6: Final answer
    x = 139,911.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.