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Finding the Third Proportional to 96,054 and 140,967

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Solution

The third proportional to 96,054 and 140,967 is: 206,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,054 : 140,967 = 140,967 : x
  2. Step 2: Convert to fraction form
    96,054/140,967 = 140,967/x
  3. Step 3: Cross multiply
    96,054x = 140,967 × 140,967
  4. Step 4: Simplify right side
    96,054x = 19,871,695,089
  5. Step 5: Solve for x
    x = 19,871,695,089/96,054
  6. Step 6: Final answer
    x = 206,880.45

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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.