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Finding the Third Proportional to 64,631.25 and 141,290.25

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Solution

The third proportional to 64,631.25 and 141,290.25 is: 308,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,631.25 : 141,290.25 = 141,290.25 : x
  2. Step 2: Convert to fraction form
    64,631.25/141,290.25 = 141,290.25/x
  3. Step 3: Cross multiply
    64,631.25x = 141,290.25 × 141,290.25
  4. Step 4: Simplify right side
    64,631.25x = 19,962,934,745.06
  5. Step 5: Solve for x
    x = 19,962,934,745.06/64,631.25
  6. Step 6: Final answer
    x = 308,874.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.