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Finding the Third Proportional to 81,465.19 and 113,808.94

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Solution

The third proportional to 81,465.19 and 113,808.94 is: 158,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.19 : 113,808.94 = 113,808.94 : x
  2. Step 2: Convert to fraction form
    81,465.19/113,808.94 = 113,808.94/x
  3. Step 3: Cross multiply
    81,465.19x = 113,808.94 × 113,808.94
  4. Step 4: Simplify right side
    81,465.19x = 12,952,474,254.88
  5. Step 5: Solve for x
    x = 12,952,474,254.88/81,465.19
  6. Step 6: Final answer
    x = 158,993.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.