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Finding the Third Proportional to 37,090 and 77,252

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Solution

The third proportional to 37,090 and 77,252 is: 160,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090 : 77,252 = 77,252 : x
  2. Step 2: Convert to fraction form
    37,090/77,252 = 77,252/x
  3. Step 3: Cross multiply
    37,090x = 77,252 × 77,252
  4. Step 4: Simplify right side
    37,090x = 5,967,871,504
  5. Step 5: Solve for x
    x = 5,967,871,504/37,090
  6. Step 6: Final answer
    x = 160,902.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.