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Finding the Third Proportional to 84,625 and 130,607

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Solution

The third proportional to 84,625 and 130,607 is: 201,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,625 : 130,607 = 130,607 : x
  2. Step 2: Convert to fraction form
    84,625/130,607 = 130,607/x
  3. Step 3: Cross multiply
    84,625x = 130,607 × 130,607
  4. Step 4: Simplify right side
    84,625x = 17,058,188,449
  5. Step 5: Solve for x
    x = 17,058,188,449/84,625
  6. Step 6: Final answer
    x = 201,573.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.