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Finding the Third Proportional to 88,502 and 191,078

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Solution

The third proportional to 88,502 and 191,078 is: 412,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,502 : 191,078 = 191,078 : x
  2. Step 2: Convert to fraction form
    88,502/191,078 = 191,078/x
  3. Step 3: Cross multiply
    88,502x = 191,078 × 191,078
  4. Step 4: Simplify right side
    88,502x = 36,510,802,084
  5. Step 5: Solve for x
    x = 36,510,802,084/88,502
  6. Step 6: Final answer
    x = 412,542.11

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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.