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Finding the Third Proportional to 64,611 and 99,792

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Solution

The third proportional to 64,611 and 99,792 is: 154,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,611 : 99,792 = 99,792 : x
  2. Step 2: Convert to fraction form
    64,611/99,792 = 99,792/x
  3. Step 3: Cross multiply
    64,611x = 99,792 × 99,792
  4. Step 4: Simplify right side
    64,611x = 9,958,443,264
  5. Step 5: Solve for x
    x = 9,958,443,264/64,611
  6. Step 6: Final answer
    x = 154,129.22

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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.