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Finding the Third Proportional to 89,034.75 and 138,658.13

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Solution

The third proportional to 89,034.75 and 138,658.13 is: 215,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,034.75 : 138,658.13 = 138,658.13 : x
  2. Step 2: Convert to fraction form
    89,034.75/138,658.13 = 138,658.13/x
  3. Step 3: Cross multiply
    89,034.75x = 138,658.13 × 138,658.13
  4. Step 4: Simplify right side
    89,034.75x = 19,226,075,628.52
  5. Step 5: Solve for x
    x = 19,226,075,628.52/89,034.75
  6. Step 6: Final answer
    x = 215,939.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.