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Finding the Third Proportional to 64,802 and 97,419

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Solution

The third proportional to 64,802 and 97,419 is: 146,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,802 : 97,419 = 97,419 : x
  2. Step 2: Convert to fraction form
    64,802/97,419 = 97,419/x
  3. Step 3: Cross multiply
    64,802x = 97,419 × 97,419
  4. Step 4: Simplify right side
    64,802x = 9,490,461,561
  5. Step 5: Solve for x
    x = 9,490,461,561/64,802
  6. Step 6: Final answer
    x = 146,453.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.