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Finding the Third Proportional to 59,071.50 and 131,143.50

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Solution

The third proportional to 59,071.50 and 131,143.50 is: 291,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,071.50 : 131,143.50 = 131,143.50 : x
  2. Step 2: Convert to fraction form
    59,071.50/131,143.50 = 131,143.50/x
  3. Step 3: Cross multiply
    59,071.50x = 131,143.50 × 131,143.50
  4. Step 4: Simplify right side
    59,071.50x = 17,198,617,592.25
  5. Step 5: Solve for x
    x = 17,198,617,592.25/59,071.50
  6. Step 6: Final answer
    x = 291,149.16

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.