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Finding the Third Proportional to 68,788.22 and 102,866.06

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Solution

The third proportional to 68,788.22 and 102,866.06 is: 153,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,788.22 : 102,866.06 = 102,866.06 : x
  2. Step 2: Convert to fraction form
    68,788.22/102,866.06 = 102,866.06/x
  3. Step 3: Cross multiply
    68,788.22x = 102,866.06 × 102,866.06
  4. Step 4: Simplify right side
    68,788.22x = 10,581,426,814.25
  5. Step 5: Solve for x
    x = 10,581,426,814.25/68,788.22
  6. Step 6: Final answer
    x = 153,826.15

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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.