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Finding the Third Proportional to 37,254 and 72,636

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Solution

The third proportional to 37,254 and 72,636 is: 141,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,254 : 72,636 = 72,636 : x
  2. Step 2: Convert to fraction form
    37,254/72,636 = 72,636/x
  3. Step 3: Cross multiply
    37,254x = 72,636 × 72,636
  4. Step 4: Simplify right side
    37,254x = 5,275,988,496
  5. Step 5: Solve for x
    x = 5,275,988,496/37,254
  6. Step 6: Final answer
    x = 141,622.07

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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.