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Finding the Third Proportional to 71,200.50 and 151,603.50

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Solution

The third proportional to 71,200.50 and 151,603.50 is: 322,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.50 : 151,603.50 = 151,603.50 : x
  2. Step 2: Convert to fraction form
    71,200.50/151,603.50 = 151,603.50/x
  3. Step 3: Cross multiply
    71,200.50x = 151,603.50 × 151,603.50
  4. Step 4: Simplify right side
    71,200.50x = 22,983,621,212.25
  5. Step 5: Solve for x
    x = 22,983,621,212.25/71,200.50
  6. Step 6: Final answer
    x = 322,801.40

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