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Finding the Third Proportional to 97,772 and 151,143

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Solution

The third proportional to 97,772 and 151,143 is: 233,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,772 : 151,143 = 151,143 : x
  2. Step 2: Convert to fraction form
    97,772/151,143 = 151,143/x
  3. Step 3: Cross multiply
    97,772x = 151,143 × 151,143
  4. Step 4: Simplify right side
    97,772x = 22,844,206,449
  5. Step 5: Solve for x
    x = 22,844,206,449/97,772
  6. Step 6: Final answer
    x = 233,647.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.