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Finding the Third Proportional to 68,811.19 and 96,901.31

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Solution

The third proportional to 68,811.19 and 96,901.31 is: 136,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,811.19 : 96,901.31 = 96,901.31 : x
  2. Step 2: Convert to fraction form
    68,811.19/96,901.31 = 96,901.31/x
  3. Step 3: Cross multiply
    68,811.19x = 96,901.31 × 96,901.31
  4. Step 4: Simplify right side
    68,811.19x = 9,389,864,364.22
  5. Step 5: Solve for x
    x = 9,389,864,364.22/68,811.19
  6. Step 6: Final answer
    x = 136,458.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.