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Finding the Third Proportional to 64,946 and 139,604

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Solution

The third proportional to 64,946 and 139,604 is: 300,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,946 : 139,604 = 139,604 : x
  2. Step 2: Convert to fraction form
    64,946/139,604 = 139,604/x
  3. Step 3: Cross multiply
    64,946x = 139,604 × 139,604
  4. Step 4: Simplify right side
    64,946x = 19,489,276,816
  5. Step 5: Solve for x
    x = 19,489,276,816/64,946
  6. Step 6: Final answer
    x = 300,084.33

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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.