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Finding the Third Proportional to 64,945 and 97,847

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Solution

The third proportional to 64,945 and 97,847 is: 147,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,945 : 97,847 = 97,847 : x
  2. Step 2: Convert to fraction form
    64,945/97,847 = 97,847/x
  3. Step 3: Cross multiply
    64,945x = 97,847 × 97,847
  4. Step 4: Simplify right side
    64,945x = 9,574,035,409
  5. Step 5: Solve for x
    x = 9,574,035,409/64,945
  6. Step 6: Final answer
    x = 147,417.59

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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.