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Finding the Third Proportional to 34,043.63 and 72,142.31

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Solution

The third proportional to 34,043.63 and 72,142.31 is: 152,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043.63 : 72,142.31 = 72,142.31 : x
  2. Step 2: Convert to fraction form
    34,043.63/72,142.31 = 72,142.31/x
  3. Step 3: Cross multiply
    34,043.63x = 72,142.31 × 72,142.31
  4. Step 4: Simplify right side
    34,043.63x = 5,204,513,252.85
  5. Step 5: Solve for x
    x = 5,204,513,252.85/34,043.63
  6. Step 6: Final answer
    x = 152,877.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.