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Finding the Third Proportional to 37,750.50 and 77,139

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Solution

The third proportional to 37,750.50 and 77,139 is: 157,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,750.50 : 77,139 = 77,139 : x
  2. Step 2: Convert to fraction form
    37,750.50/77,139 = 77,139/x
  3. Step 3: Cross multiply
    37,750.50x = 77,139 × 77,139
  4. Step 4: Simplify right side
    37,750.50x = 5,950,425,321
  5. Step 5: Solve for x
    x = 5,950,425,321/37,750.50
  6. Step 6: Final answer
    x = 157,625.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.