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Finding the Third Proportional to 97,472 and 155,080

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Solution

The third proportional to 97,472 and 155,080 is: 246,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,472 : 155,080 = 155,080 : x
  2. Step 2: Convert to fraction form
    97,472/155,080 = 155,080/x
  3. Step 3: Cross multiply
    97,472x = 155,080 × 155,080
  4. Step 4: Simplify right side
    97,472x = 24,049,806,400
  5. Step 5: Solve for x
    x = 24,049,806,400/97,472
  6. Step 6: Final answer
    x = 246,735.54

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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.