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Finding the Third Proportional to 88,032 and 189,753

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Solution

The third proportional to 88,032 and 189,753 is: 409,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,032 : 189,753 = 189,753 : x
  2. Step 2: Convert to fraction form
    88,032/189,753 = 189,753/x
  3. Step 3: Cross multiply
    88,032x = 189,753 × 189,753
  4. Step 4: Simplify right side
    88,032x = 36,006,201,009
  5. Step 5: Solve for x
    x = 36,006,201,009/88,032
  6. Step 6: Final answer
    x = 409,012.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.