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Finding the Third Proportional to 37,301.50 and 72,699.25

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Solution

The third proportional to 37,301.50 and 72,699.25 is: 141,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,301.50 : 72,699.25 = 72,699.25 : x
  2. Step 2: Convert to fraction form
    37,301.50/72,699.25 = 72,699.25/x
  3. Step 3: Cross multiply
    37,301.50x = 72,699.25 × 72,699.25
  4. Step 4: Simplify right side
    37,301.50x = 5,285,180,950.56
  5. Step 5: Solve for x
    x = 5,285,180,950.56/37,301.50
  6. Step 6: Final answer
    x = 141,688.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.