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Finding the Third Proportional to 63,564.75 and 141,069.75

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Solution

The third proportional to 63,564.75 and 141,069.75 is: 313,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564.75 : 141,069.75 = 141,069.75 : x
  2. Step 2: Convert to fraction form
    63,564.75/141,069.75 = 141,069.75/x
  3. Step 3: Cross multiply
    63,564.75x = 141,069.75 × 141,069.75
  4. Step 4: Simplify right side
    63,564.75x = 19,900,674,365.06
  5. Step 5: Solve for x
    x = 19,900,674,365.06/63,564.75
  6. Step 6: Final answer
    x = 313,077.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.