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Finding the Third Proportional to 96,768 and 142,305.75

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Solution

The third proportional to 96,768 and 142,305.75 is: 209,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 142,305.75 = 142,305.75 : x
  2. Step 2: Convert to fraction form
    96,768/142,305.75 = 142,305.75/x
  3. Step 3: Cross multiply
    96,768x = 142,305.75 × 142,305.75
  4. Step 4: Simplify right side
    96,768x = 20,250,926,483.06
  5. Step 5: Solve for x
    x = 20,250,926,483.06/96,768
  6. Step 6: Final answer
    x = 209,272.97

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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.