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Finding the Third Proportional to 37,545 and 82,319

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Solution

The third proportional to 37,545 and 82,319 is: 180,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,545 : 82,319 = 82,319 : x
  2. Step 2: Convert to fraction form
    37,545/82,319 = 82,319/x
  3. Step 3: Cross multiply
    37,545x = 82,319 × 82,319
  4. Step 4: Simplify right side
    37,545x = 6,776,417,761
  5. Step 5: Solve for x
    x = 6,776,417,761/37,545
  6. Step 6: Final answer
    x = 180,487.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.