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Finding the Third Proportional to 65,365 and 143,190

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Solution

The third proportional to 65,365 and 143,190 is: 313,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,365 : 143,190 = 143,190 : x
  2. Step 2: Convert to fraction form
    65,365/143,190 = 143,190/x
  3. Step 3: Cross multiply
    65,365x = 143,190 × 143,190
  4. Step 4: Simplify right side
    65,365x = 20,503,376,100
  5. Step 5: Solve for x
    x = 20,503,376,100/65,365
  6. Step 6: Final answer
    x = 313,675.15

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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.