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Finding the Third Proportional to 42,894 and 94,515

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Solution

The third proportional to 42,894 and 94,515 is: 208,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894 : 94,515 = 94,515 : x
  2. Step 2: Convert to fraction form
    42,894/94,515 = 94,515/x
  3. Step 3: Cross multiply
    42,894x = 94,515 × 94,515
  4. Step 4: Simplify right side
    42,894x = 8,933,085,225
  5. Step 5: Solve for x
    x = 8,933,085,225/42,894
  6. Step 6: Final answer
    x = 208,259.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.