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Finding the Third Proportional to 64,675.13 and 141,378.75

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Solution

The third proportional to 64,675.13 and 141,378.75 is: 309,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,675.13 : 141,378.75 = 141,378.75 : x
  2. Step 2: Convert to fraction form
    64,675.13/141,378.75 = 141,378.75/x
  3. Step 3: Cross multiply
    64,675.13x = 141,378.75 × 141,378.75
  4. Step 4: Simplify right side
    64,675.13x = 19,987,950,951.56
  5. Step 5: Solve for x
    x = 19,987,950,951.56/64,675.13
  6. Step 6: Final answer
    x = 309,051.60

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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.