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Finding the Third Proportional to 64,554 and 139,830

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Solution

The third proportional to 64,554 and 139,830 is: 302,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,554 : 139,830 = 139,830 : x
  2. Step 2: Convert to fraction form
    64,554/139,830 = 139,830/x
  3. Step 3: Cross multiply
    64,554x = 139,830 × 139,830
  4. Step 4: Simplify right side
    64,554x = 19,552,428,900
  5. Step 5: Solve for x
    x = 19,552,428,900/64,554
  6. Step 6: Final answer
    x = 302,884.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.