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Finding the Third Proportional to 64,754 and 100,008

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Solution

The third proportional to 64,754 and 100,008 is: 154,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,754 : 100,008 = 100,008 : x
  2. Step 2: Convert to fraction form
    64,754/100,008 = 100,008/x
  3. Step 3: Cross multiply
    64,754x = 100,008 × 100,008
  4. Step 4: Simplify right side
    64,754x = 10,001,600,064
  5. Step 5: Solve for x
    x = 10,001,600,064/64,754
  6. Step 6: Final answer
    x = 154,455.32

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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.