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Finding the Third Proportional to 64,972 and 139,970

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Solution

The third proportional to 64,972 and 139,970 is: 301,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972 : 139,970 = 139,970 : x
  2. Step 2: Convert to fraction form
    64,972/139,970 = 139,970/x
  3. Step 3: Cross multiply
    64,972x = 139,970 × 139,970
  4. Step 4: Simplify right side
    64,972x = 19,591,600,900
  5. Step 5: Solve for x
    x = 19,591,600,900/64,972
  6. Step 6: Final answer
    x = 301,539.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.