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Finding the Third Proportional to 65,851.31 and 142,232.63

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Solution

The third proportional to 65,851.31 and 142,232.63 is: 307,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,851.31 : 142,232.63 = 142,232.63 : x
  2. Step 2: Convert to fraction form
    65,851.31/142,232.63 = 142,232.63/x
  3. Step 3: Cross multiply
    65,851.31x = 142,232.63 × 142,232.63
  4. Step 4: Simplify right side
    65,851.31x = 20,230,119,614.39
  5. Step 5: Solve for x
    x = 20,230,119,614.39/65,851.31
  6. Step 6: Final answer
    x = 307,209.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.