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Finding the Third Proportional to 61,489 and 94,017

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Solution

The third proportional to 61,489 and 94,017 is: 143,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,489 : 94,017 = 94,017 : x
  2. Step 2: Convert to fraction form
    61,489/94,017 = 94,017/x
  3. Step 3: Cross multiply
    61,489x = 94,017 × 94,017
  4. Step 4: Simplify right side
    61,489x = 8,839,196,289
  5. Step 5: Solve for x
    x = 8,839,196,289/61,489
  6. Step 6: Final answer
    x = 143,752.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.