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Finding the Third Proportional to 65,631 and 97,062

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Solution

The third proportional to 65,631 and 97,062 is: 143,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,631 : 97,062 = 97,062 : x
  2. Step 2: Convert to fraction form
    65,631/97,062 = 97,062/x
  3. Step 3: Cross multiply
    65,631x = 97,062 × 97,062
  4. Step 4: Simplify right side
    65,631x = 9,421,031,844
  5. Step 5: Solve for x
    x = 9,421,031,844/65,631
  6. Step 6: Final answer
    x = 143,545.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.