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Finding the Third Proportional to 88,260 and 189,155

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Solution

The third proportional to 88,260 and 189,155 is: 405,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,260 : 189,155 = 189,155 : x
  2. Step 2: Convert to fraction form
    88,260/189,155 = 189,155/x
  3. Step 3: Cross multiply
    88,260x = 189,155 × 189,155
  4. Step 4: Simplify right side
    88,260x = 35,779,614,025
  5. Step 5: Solve for x
    x = 35,779,614,025/88,260
  6. Step 6: Final answer
    x = 405,388.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.