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Finding the Third Proportional to 63,300 and 89,058

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Solution

The third proportional to 63,300 and 89,058 is: 125,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,300 : 89,058 = 89,058 : x
  2. Step 2: Convert to fraction form
    63,300/89,058 = 89,058/x
  3. Step 3: Cross multiply
    63,300x = 89,058 × 89,058
  4. Step 4: Simplify right side
    63,300x = 7,931,327,364
  5. Step 5: Solve for x
    x = 7,931,327,364/63,300
  6. Step 6: Final answer
    x = 125,297.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.