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Finding the Third Proportional to 96,571.55 and 142,066.27

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Solution

The third proportional to 96,571.55 and 142,066.27 is: 208,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,571.55 : 142,066.27 = 142,066.27 : x
  2. Step 2: Convert to fraction form
    96,571.55/142,066.27 = 142,066.27/x
  3. Step 3: Cross multiply
    96,571.55x = 142,066.27 × 142,066.27
  4. Step 4: Simplify right side
    96,571.55x = 20,182,823,828.63
  5. Step 5: Solve for x
    x = 20,182,823,828.63/96,571.55
  6. Step 6: Final answer
    x = 208,993.48

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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.