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Finding the Third Proportional to 60,817 and 133,088

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Solution

The third proportional to 60,817 and 133,088 is: 291,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,817 : 133,088 = 133,088 : x
  2. Step 2: Convert to fraction form
    60,817/133,088 = 133,088/x
  3. Step 3: Cross multiply
    60,817x = 133,088 × 133,088
  4. Step 4: Simplify right side
    60,817x = 17,712,415,744
  5. Step 5: Solve for x
    x = 17,712,415,744/60,817
  6. Step 6: Final answer
    x = 291,241.19

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Why These Related Problems?

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