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Finding the Third Proportional to 91,152 and 191,517.75

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Solution

The third proportional to 91,152 and 191,517.75 is: 402,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,152 : 191,517.75 = 191,517.75 : x
  2. Step 2: Convert to fraction form
    91,152/191,517.75 = 191,517.75/x
  3. Step 3: Cross multiply
    91,152x = 191,517.75 × 191,517.75
  4. Step 4: Simplify right side
    91,152x = 36,679,048,565.06
  5. Step 5: Solve for x
    x = 36,679,048,565.06/91,152
  6. Step 6: Final answer
    x = 402,394.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.