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Finding the Third Proportional to 88,166.75 and 189,590

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Solution

The third proportional to 88,166.75 and 189,590 is: 407,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,166.75 : 189,590 = 189,590 : x
  2. Step 2: Convert to fraction form
    88,166.75/189,590 = 189,590/x
  3. Step 3: Cross multiply
    88,166.75x = 189,590 × 189,590
  4. Step 4: Simplify right side
    88,166.75x = 35,944,368,100
  5. Step 5: Solve for x
    x = 35,944,368,100/88,166.75
  6. Step 6: Final answer
    x = 407,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.