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Finding the Third Proportional to 69,541 and 94,465

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Solution

The third proportional to 69,541 and 94,465 is: 128,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,541 : 94,465 = 94,465 : x
  2. Step 2: Convert to fraction form
    69,541/94,465 = 94,465/x
  3. Step 3: Cross multiply
    69,541x = 94,465 × 94,465
  4. Step 4: Simplify right side
    69,541x = 8,923,636,225
  5. Step 5: Solve for x
    x = 8,923,636,225/69,541
  6. Step 6: Final answer
    x = 128,321.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.