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Finding the Third Proportional to 64,442 and 97,131

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Solution

The third proportional to 64,442 and 97,131 is: 146,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,442 : 97,131 = 97,131 : x
  2. Step 2: Convert to fraction form
    64,442/97,131 = 97,131/x
  3. Step 3: Cross multiply
    64,442x = 97,131 × 97,131
  4. Step 4: Simplify right side
    64,442x = 9,434,431,161
  5. Step 5: Solve for x
    x = 9,434,431,161/64,442
  6. Step 6: Final answer
    x = 146,401.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.