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Finding the Third Proportional to 89,151.19 and 130,997.25

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Solution

The third proportional to 89,151.19 and 130,997.25 is: 192,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,151.19 : 130,997.25 = 130,997.25 : x
  2. Step 2: Convert to fraction form
    89,151.19/130,997.25 = 130,997.25/x
  3. Step 3: Cross multiply
    89,151.19x = 130,997.25 × 130,997.25
  4. Step 4: Simplify right side
    89,151.19x = 17,160,279,507.56
  5. Step 5: Solve for x
    x = 17,160,279,507.56/89,151.19
  6. Step 6: Final answer
    x = 192,485.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.