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Finding the Third Proportional to 89,832 and 149,710

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Solution

The third proportional to 89,832 and 149,710 is: 249,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,832 : 149,710 = 149,710 : x
  2. Step 2: Convert to fraction form
    89,832/149,710 = 149,710/x
  3. Step 3: Cross multiply
    89,832x = 149,710 × 149,710
  4. Step 4: Simplify right side
    89,832x = 22,413,084,100
  5. Step 5: Solve for x
    x = 22,413,084,100/89,832
  6. Step 6: Final answer
    x = 249,500.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.