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Finding the Third Proportional to 89,430.75 and 144,838.13

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Solution

The third proportional to 89,430.75 and 144,838.13 is: 234,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,430.75 : 144,838.13 = 144,838.13 : x
  2. Step 2: Convert to fraction form
    89,430.75/144,838.13 = 144,838.13/x
  3. Step 3: Cross multiply
    89,430.75x = 144,838.13 × 144,838.13
  4. Step 4: Simplify right side
    89,430.75x = 20,978,082,453.52
  5. Step 5: Solve for x
    x = 20,978,082,453.52/89,430.75
  6. Step 6: Final answer
    x = 234,573.48

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.