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Finding the Third Proportional to 58,002.75 and 123,592.50

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Solution

The third proportional to 58,002.75 and 123,592.50 is: 263,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,002.75 : 123,592.50 = 123,592.50 : x
  2. Step 2: Convert to fraction form
    58,002.75/123,592.50 = 123,592.50/x
  3. Step 3: Cross multiply
    58,002.75x = 123,592.50 × 123,592.50
  4. Step 4: Simplify right side
    58,002.75x = 15,275,106,056.25
  5. Step 5: Solve for x
    x = 15,275,106,056.25/58,002.75
  6. Step 6: Final answer
    x = 263,351.41

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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.