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Finding the Third Proportional to 45,664 and 67,265

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Solution

The third proportional to 45,664 and 67,265 is: 99,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,664 : 67,265 = 67,265 : x
  2. Step 2: Convert to fraction form
    45,664/67,265 = 67,265/x
  3. Step 3: Cross multiply
    45,664x = 67,265 × 67,265
  4. Step 4: Simplify right side
    45,664x = 4,524,580,225
  5. Step 5: Solve for x
    x = 4,524,580,225/45,664
  6. Step 6: Final answer
    x = 99,084.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.