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Finding the Third Proportional to 64,671.75 and 141,369.75

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Solution

The third proportional to 64,671.75 and 141,369.75 is: 309,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,671.75 : 141,369.75 = 141,369.75 : x
  2. Step 2: Convert to fraction form
    64,671.75/141,369.75 = 141,369.75/x
  3. Step 3: Cross multiply
    64,671.75x = 141,369.75 × 141,369.75
  4. Step 4: Simplify right side
    64,671.75x = 19,985,406,215.06
  5. Step 5: Solve for x
    x = 19,985,406,215.06/64,671.75
  6. Step 6: Final answer
    x = 309,028.38

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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.