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Finding the Third Proportional to 64,663 and 139,520

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Solution

The third proportional to 64,663 and 139,520 is: 301,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,663 : 139,520 = 139,520 : x
  2. Step 2: Convert to fraction form
    64,663/139,520 = 139,520/x
  3. Step 3: Cross multiply
    64,663x = 139,520 × 139,520
  4. Step 4: Simplify right side
    64,663x = 19,465,830,400
  5. Step 5: Solve for x
    x = 19,465,830,400/64,663
  6. Step 6: Final answer
    x = 301,035.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.