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Finding the Third Proportional to 66,492 and 96,579

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Solution

The third proportional to 66,492 and 96,579 is: 140,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,492 : 96,579 = 96,579 : x
  2. Step 2: Convert to fraction form
    66,492/96,579 = 96,579/x
  3. Step 3: Cross multiply
    66,492x = 96,579 × 96,579
  4. Step 4: Simplify right side
    66,492x = 9,327,503,241
  5. Step 5: Solve for x
    x = 9,327,503,241/66,492
  6. Step 6: Final answer
    x = 140,280.08

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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.