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Finding the Third Proportional to 58,317.75 and 122,509.69

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Solution

The third proportional to 58,317.75 and 122,509.69 is: 257,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,317.75 : 122,509.69 = 122,509.69 : x
  2. Step 2: Convert to fraction form
    58,317.75/122,509.69 = 122,509.69/x
  3. Step 3: Cross multiply
    58,317.75x = 122,509.69 × 122,509.69
  4. Step 4: Simplify right side
    58,317.75x = 15,008,623,531.35
  5. Step 5: Solve for x
    x = 15,008,623,531.35/58,317.75
  6. Step 6: Final answer
    x = 257,359.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.