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Finding the Third Proportional to 64,252.13 and 139,230

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Solution

The third proportional to 64,252.13 and 139,230 is: 301,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,252.13 : 139,230 = 139,230 : x
  2. Step 2: Convert to fraction form
    64,252.13/139,230 = 139,230/x
  3. Step 3: Cross multiply
    64,252.13x = 139,230 × 139,230
  4. Step 4: Simplify right side
    64,252.13x = 19,384,992,900
  5. Step 5: Solve for x
    x = 19,384,992,900/64,252.13
  6. Step 6: Final answer
    x = 301,701.97

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Why These Related Problems?

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