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Finding the Third Proportional to 97,062 and 140,265

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Solution

The third proportional to 97,062 and 140,265 is: 202,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,062 : 140,265 = 140,265 : x
  2. Step 2: Convert to fraction form
    97,062/140,265 = 140,265/x
  3. Step 3: Cross multiply
    97,062x = 140,265 × 140,265
  4. Step 4: Simplify right side
    97,062x = 19,674,270,225
  5. Step 5: Solve for x
    x = 19,674,270,225/97,062
  6. Step 6: Final answer
    x = 202,697.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.