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Finding the Third Proportional to 68,353.50 and 100,252.50

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Solution

The third proportional to 68,353.50 and 100,252.50 is: 147,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,353.50 : 100,252.50 = 100,252.50 : x
  2. Step 2: Convert to fraction form
    68,353.50/100,252.50 = 100,252.50/x
  3. Step 3: Cross multiply
    68,353.50x = 100,252.50 × 100,252.50
  4. Step 4: Simplify right side
    68,353.50x = 10,050,563,756.25
  5. Step 5: Solve for x
    x = 10,050,563,756.25/68,353.50
  6. Step 6: Final answer
    x = 147,038.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.