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Finding the Third Proportional to 97,027.50 and 155,792

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Solution

The third proportional to 97,027.50 and 155,792 is: 250,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,027.50 : 155,792 = 155,792 : x
  2. Step 2: Convert to fraction form
    97,027.50/155,792 = 155,792/x
  3. Step 3: Cross multiply
    97,027.50x = 155,792 × 155,792
  4. Step 4: Simplify right side
    97,027.50x = 24,271,147,264
  5. Step 5: Solve for x
    x = 24,271,147,264/97,027.50
  6. Step 6: Final answer
    x = 250,147.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.