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Finding the Third Proportional to 67,058 and 99,017

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Solution

The third proportional to 67,058 and 99,017 is: 146,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,058 : 99,017 = 99,017 : x
  2. Step 2: Convert to fraction form
    67,058/99,017 = 99,017/x
  3. Step 3: Cross multiply
    67,058x = 99,017 × 99,017
  4. Step 4: Simplify right side
    67,058x = 9,804,366,289
  5. Step 5: Solve for x
    x = 9,804,366,289/67,058
  6. Step 6: Final answer
    x = 146,207.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.