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Finding the Third Proportional to 71,201 and 151,605.50

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Solution

The third proportional to 71,201 and 151,605.50 is: 322,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,201 : 151,605.50 = 151,605.50 : x
  2. Step 2: Convert to fraction form
    71,201/151,605.50 = 151,605.50/x
  3. Step 3: Cross multiply
    71,201x = 151,605.50 × 151,605.50
  4. Step 4: Simplify right side
    71,201x = 22,984,227,630.25
  5. Step 5: Solve for x
    x = 22,984,227,630.25/71,201
  6. Step 6: Final answer
    x = 322,807.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.