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Finding the Third Proportional to 90,159 and 140,153

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Solution

The third proportional to 90,159 and 140,153 is: 217,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,159 : 140,153 = 140,153 : x
  2. Step 2: Convert to fraction form
    90,159/140,153 = 140,153/x
  3. Step 3: Cross multiply
    90,159x = 140,153 × 140,153
  4. Step 4: Simplify right side
    90,159x = 19,642,863,409
  5. Step 5: Solve for x
    x = 19,642,863,409/90,159
  6. Step 6: Final answer
    x = 217,869.14

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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.