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Finding the Third Proportional to 132,964.03 and 199,582.10

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Solution

The third proportional to 132,964.03 and 199,582.10 is: 299,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,964.03 : 199,582.10 = 199,582.10 : x
  2. Step 2: Convert to fraction form
    132,964.03/199,582.10 = 199,582.10/x
  3. Step 3: Cross multiply
    132,964.03x = 199,582.10 × 199,582.10
  4. Step 4: Simplify right side
    132,964.03x = 39,833,015,264.10
  5. Step 5: Solve for x
    x = 39,833,015,264.10/132,964.03
  6. Step 6: Final answer
    x = 299,577.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.