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Finding the Third Proportional to 64,411.88 and 139,546.13

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Solution

The third proportional to 64,411.88 and 139,546.13 is: 302,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,411.88 : 139,546.13 = 139,546.13 : x
  2. Step 2: Convert to fraction form
    64,411.88/139,546.13 = 139,546.13/x
  3. Step 3: Cross multiply
    64,411.88x = 139,546.13 × 139,546.13
  4. Step 4: Simplify right side
    64,411.88x = 19,473,121,002.52
  5. Step 5: Solve for x
    x = 19,473,121,002.52/64,411.88
  6. Step 6: Final answer
    x = 302,321.91

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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.