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Finding the Third Proportional to 37,306 and 80,133.50

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Solution

The third proportional to 37,306 and 80,133.50 is: 172,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306 : 80,133.50 = 80,133.50 : x
  2. Step 2: Convert to fraction form
    37,306/80,133.50 = 80,133.50/x
  3. Step 3: Cross multiply
    37,306x = 80,133.50 × 80,133.50
  4. Step 4: Simplify right side
    37,306x = 6,421,377,822.25
  5. Step 5: Solve for x
    x = 6,421,377,822.25/37,306
  6. Step 6: Final answer
    x = 172,127.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.