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Finding the Third Proportional to 71,510 and 155,321.50

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Solution

The third proportional to 71,510 and 155,321.50 is: 337,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510 : 155,321.50 = 155,321.50 : x
  2. Step 2: Convert to fraction form
    71,510/155,321.50 = 155,321.50/x
  3. Step 3: Cross multiply
    71,510x = 155,321.50 × 155,321.50
  4. Step 4: Simplify right side
    71,510x = 24,124,768,362.25
  5. Step 5: Solve for x
    x = 24,124,768,362.25/71,510
  6. Step 6: Final answer
    x = 337,362.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.