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Finding the Third Proportional to 42,396 and 89,058

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Solution

The third proportional to 42,396 and 89,058 is: 187,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,396 : 89,058 = 89,058 : x
  2. Step 2: Convert to fraction form
    42,396/89,058 = 89,058/x
  3. Step 3: Cross multiply
    42,396x = 89,058 × 89,058
  4. Step 4: Simplify right side
    42,396x = 7,931,327,364
  5. Step 5: Solve for x
    x = 7,931,327,364/42,396
  6. Step 6: Final answer
    x = 187,077.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.