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Finding the Third Proportional to 64,627.88 and 141,284.25

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Solution

The third proportional to 64,627.88 and 141,284.25 is: 308,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,627.88 : 141,284.25 = 141,284.25 : x
  2. Step 2: Convert to fraction form
    64,627.88/141,284.25 = 141,284.25/x
  3. Step 3: Cross multiply
    64,627.88x = 141,284.25 × 141,284.25
  4. Step 4: Simplify right side
    64,627.88x = 19,961,239,298.06
  5. Step 5: Solve for x
    x = 19,961,239,298.06/64,627.88
  6. Step 6: Final answer
    x = 308,864.24

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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.