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Finding the Third Proportional to 90,658 and 140,724

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Solution

The third proportional to 90,658 and 140,724 is: 218,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,658 : 140,724 = 140,724 : x
  2. Step 2: Convert to fraction form
    90,658/140,724 = 140,724/x
  3. Step 3: Cross multiply
    90,658x = 140,724 × 140,724
  4. Step 4: Simplify right side
    90,658x = 19,803,244,176
  5. Step 5: Solve for x
    x = 19,803,244,176/90,658
  6. Step 6: Final answer
    x = 218,439.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.