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Finding the Third Proportional to 64,533 and 94,683

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Solution

The third proportional to 64,533 and 94,683 is: 138,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,533 : 94,683 = 94,683 : x
  2. Step 2: Convert to fraction form
    64,533/94,683 = 94,683/x
  3. Step 3: Cross multiply
    64,533x = 94,683 × 94,683
  4. Step 4: Simplify right side
    64,533x = 8,964,870,489
  5. Step 5: Solve for x
    x = 8,964,870,489/64,533
  6. Step 6: Final answer
    x = 138,919.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.