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Finding the Third Proportional to 70,201.50 and 95,263.50

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Solution

The third proportional to 70,201.50 and 95,263.50 is: 129,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201.50 : 95,263.50 = 95,263.50 : x
  2. Step 2: Convert to fraction form
    70,201.50/95,263.50 = 95,263.50/x
  3. Step 3: Cross multiply
    70,201.50x = 95,263.50 × 95,263.50
  4. Step 4: Simplify right side
    70,201.50x = 9,075,134,432.25
  5. Step 5: Solve for x
    x = 9,075,134,432.25/70,201.50
  6. Step 6: Final answer
    x = 129,272.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.