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Finding the Third Proportional to 64,135.13 and 139,223.25

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Solution

The third proportional to 64,135.13 and 139,223.25 is: 302,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,135.13 : 139,223.25 = 139,223.25 : x
  2. Step 2: Convert to fraction form
    64,135.13/139,223.25 = 139,223.25/x
  3. Step 3: Cross multiply
    64,135.13x = 139,223.25 × 139,223.25
  4. Step 4: Simplify right side
    64,135.13x = 19,383,113,340.56
  5. Step 5: Solve for x
    x = 19,383,113,340.56/64,135.13
  6. Step 6: Final answer
    x = 302,223.05

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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.