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Finding the Third Proportional to 85,423 and 130,241

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Solution

The third proportional to 85,423 and 130,241 is: 198,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,423 : 130,241 = 130,241 : x
  2. Step 2: Convert to fraction form
    85,423/130,241 = 130,241/x
  3. Step 3: Cross multiply
    85,423x = 130,241 × 130,241
  4. Step 4: Simplify right side
    85,423x = 16,962,718,081
  5. Step 5: Solve for x
    x = 16,962,718,081/85,423
  6. Step 6: Final answer
    x = 198,573.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.