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Finding the Third Proportional to 64,002 and 139,650

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Solution

The third proportional to 64,002 and 139,650 is: 304,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,002 : 139,650 = 139,650 : x
  2. Step 2: Convert to fraction form
    64,002/139,650 = 139,650/x
  3. Step 3: Cross multiply
    64,002x = 139,650 × 139,650
  4. Step 4: Simplify right side
    64,002x = 19,502,122,500
  5. Step 5: Solve for x
    x = 19,502,122,500/64,002
  6. Step 6: Final answer
    x = 304,711.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.