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Finding the Third Proportional to 64,012 and 99,642

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Solution

The third proportional to 64,012 and 99,642 is: 155,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,012 : 99,642 = 99,642 : x
  2. Step 2: Convert to fraction form
    64,012/99,642 = 99,642/x
  3. Step 3: Cross multiply
    64,012x = 99,642 × 99,642
  4. Step 4: Simplify right side
    64,012x = 9,928,528,164
  5. Step 5: Solve for x
    x = 9,928,528,164/64,012
  6. Step 6: Final answer
    x = 155,104.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.