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Finding the Third Proportional to 64,677.25 and 141,378.25

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Solution

The third proportional to 64,677.25 and 141,378.25 is: 309,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,677.25 : 141,378.25 = 141,378.25 : x
  2. Step 2: Convert to fraction form
    64,677.25/141,378.25 = 141,378.25/x
  3. Step 3: Cross multiply
    64,677.25x = 141,378.25 × 141,378.25
  4. Step 4: Simplify right side
    64,677.25x = 19,987,809,573.06
  5. Step 5: Solve for x
    x = 19,987,809,573.06/64,677.25
  6. Step 6: Final answer
    x = 309,039.26

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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.