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Finding the Third Proportional to 37,140 and 77,924

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Solution

The third proportional to 37,140 and 77,924 is: 163,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140 : 77,924 = 77,924 : x
  2. Step 2: Convert to fraction form
    37,140/77,924 = 77,924/x
  3. Step 3: Cross multiply
    37,140x = 77,924 × 77,924
  4. Step 4: Simplify right side
    37,140x = 6,072,149,776
  5. Step 5: Solve for x
    x = 6,072,149,776/37,140
  6. Step 6: Final answer
    x = 163,493.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.