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Finding the Third Proportional to 56,079.84 and 86,198.34

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Solution

The third proportional to 56,079.84 and 86,198.34 is: 132,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,079.84 : 86,198.34 = 86,198.34 : x
  2. Step 2: Convert to fraction form
    56,079.84/86,198.34 = 86,198.34/x
  3. Step 3: Cross multiply
    56,079.84x = 86,198.34 × 86,198.34
  4. Step 4: Simplify right side
    56,079.84x = 7,430,154,465.24
  5. Step 5: Solve for x
    x = 7,430,154,465.24/56,079.84
  6. Step 6: Final answer
    x = 132,492.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.