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Finding the Third Proportional to 65,733.33 and 143,973.70

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Solution

The third proportional to 65,733.33 and 143,973.70 is: 315,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733.33 : 143,973.70 = 143,973.70 : x
  2. Step 2: Convert to fraction form
    65,733.33/143,973.70 = 143,973.70/x
  3. Step 3: Cross multiply
    65,733.33x = 143,973.70 × 143,973.70
  4. Step 4: Simplify right side
    65,733.33x = 20,728,427,191.53
  5. Step 5: Solve for x
    x = 20,728,427,191.53/65,733.33
  6. Step 6: Final answer
    x = 315,341.21

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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.