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Finding the Third Proportional to 68,118.19 and 102,200.06

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Solution

The third proportional to 68,118.19 and 102,200.06 is: 153,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,118.19 : 102,200.06 = 102,200.06 : x
  2. Step 2: Convert to fraction form
    68,118.19/102,200.06 = 102,200.06/x
  3. Step 3: Cross multiply
    68,118.19x = 102,200.06 × 102,200.06
  4. Step 4: Simplify right side
    68,118.19x = 10,444,852,775.00
  5. Step 5: Solve for x
    x = 10,444,852,775.00/68,118.19
  6. Step 6: Final answer
    x = 153,334.27

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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.