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Finding the Third Proportional to 64,938 and 139,587

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Solution

The third proportional to 64,938 and 139,587 is: 300,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938 : 139,587 = 139,587 : x
  2. Step 2: Convert to fraction form
    64,938/139,587 = 139,587/x
  3. Step 3: Cross multiply
    64,938x = 139,587 × 139,587
  4. Step 4: Simplify right side
    64,938x = 19,484,530,569
  5. Step 5: Solve for x
    x = 19,484,530,569/64,938
  6. Step 6: Final answer
    x = 300,048.21

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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.