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Finding the Third Proportional to 96,587 and 141,991

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Solution

The third proportional to 96,587 and 141,991 is: 208,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,587 : 141,991 = 141,991 : x
  2. Step 2: Convert to fraction form
    96,587/141,991 = 141,991/x
  3. Step 3: Cross multiply
    96,587x = 141,991 × 141,991
  4. Step 4: Simplify right side
    96,587x = 20,161,444,081
  5. Step 5: Solve for x
    x = 20,161,444,081/96,587
  6. Step 6: Final answer
    x = 208,738.69

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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.