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Finding the Third Proportional to 64,881 and 139,583

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Solution

The third proportional to 64,881 and 139,583 is: 300,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,881 : 139,583 = 139,583 : x
  2. Step 2: Convert to fraction form
    64,881/139,583 = 139,583/x
  3. Step 3: Cross multiply
    64,881x = 139,583 × 139,583
  4. Step 4: Simplify right side
    64,881x = 19,483,413,889
  5. Step 5: Solve for x
    x = 19,483,413,889/64,881
  6. Step 6: Final answer
    x = 300,294.60

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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.