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Finding the Third Proportional to 65,387.88 and 141,232.36

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Solution

The third proportional to 65,387.88 and 141,232.36 is: 305,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,387.88 : 141,232.36 = 141,232.36 : x
  2. Step 2: Convert to fraction form
    65,387.88/141,232.36 = 141,232.36/x
  3. Step 3: Cross multiply
    65,387.88x = 141,232.36 × 141,232.36
  4. Step 4: Simplify right side
    65,387.88x = 19,946,579,334.63
  5. Step 5: Solve for x
    x = 19,946,579,334.63/65,387.88
  6. Step 6: Final answer
    x = 305,050.09

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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.