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Finding the Third Proportional to 58,288.50 and 120,314.25

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Solution

The third proportional to 58,288.50 and 120,314.25 is: 248,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,288.50 : 120,314.25 = 120,314.25 : x
  2. Step 2: Convert to fraction form
    58,288.50/120,314.25 = 120,314.25/x
  3. Step 3: Cross multiply
    58,288.50x = 120,314.25 × 120,314.25
  4. Step 4: Simplify right side
    58,288.50x = 14,475,518,753.06
  5. Step 5: Solve for x
    x = 14,475,518,753.06/58,288.50
  6. Step 6: Final answer
    x = 248,342.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.