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Finding the Third Proportional to 60,679.50 and 133,023

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Solution

The third proportional to 60,679.50 and 133,023 is: 291,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,679.50 : 133,023 = 133,023 : x
  2. Step 2: Convert to fraction form
    60,679.50/133,023 = 133,023/x
  3. Step 3: Cross multiply
    60,679.50x = 133,023 × 133,023
  4. Step 4: Simplify right side
    60,679.50x = 17,695,118,529
  5. Step 5: Solve for x
    x = 17,695,118,529/60,679.50
  6. Step 6: Final answer
    x = 291,616.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.