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Finding the Third Proportional to 60,082 and 86,546

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Solution

The third proportional to 60,082 and 86,546 is: 124,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,082 : 86,546 = 86,546 : x
  2. Step 2: Convert to fraction form
    60,082/86,546 = 86,546/x
  3. Step 3: Cross multiply
    60,082x = 86,546 × 86,546
  4. Step 4: Simplify right side
    60,082x = 7,490,210,116
  5. Step 5: Solve for x
    x = 7,490,210,116/60,082
  6. Step 6: Final answer
    x = 124,666.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.