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Finding the Third Proportional to 59,095.50 and 131,313.50

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Solution

The third proportional to 59,095.50 and 131,313.50 is: 291,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,095.50 : 131,313.50 = 131,313.50 : x
  2. Step 2: Convert to fraction form
    59,095.50/131,313.50 = 131,313.50/x
  3. Step 3: Cross multiply
    59,095.50x = 131,313.50 × 131,313.50
  4. Step 4: Simplify right side
    59,095.50x = 17,243,235,282.25
  5. Step 5: Solve for x
    x = 17,243,235,282.25/59,095.50
  6. Step 6: Final answer
    x = 291,785.93

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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.