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Finding the Third Proportional to 64,647 and 99,343

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Solution

The third proportional to 64,647 and 99,343 is: 152,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,647 : 99,343 = 99,343 : x
  2. Step 2: Convert to fraction form
    64,647/99,343 = 99,343/x
  3. Step 3: Cross multiply
    64,647x = 99,343 × 99,343
  4. Step 4: Simplify right side
    64,647x = 9,869,031,649
  5. Step 5: Solve for x
    x = 9,869,031,649/64,647
  6. Step 6: Final answer
    x = 152,660.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.