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Finding the Third Proportional to 97,994 and 155,743

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Solution

The third proportional to 97,994 and 155,743 is: 247,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,994 : 155,743 = 155,743 : x
  2. Step 2: Convert to fraction form
    97,994/155,743 = 155,743/x
  3. Step 3: Cross multiply
    97,994x = 155,743 × 155,743
  4. Step 4: Simplify right side
    97,994x = 24,255,882,049
  5. Step 5: Solve for x
    x = 24,255,882,049/97,994
  6. Step 6: Final answer
    x = 247,524.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.