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Finding the Third Proportional to 99,774.75 and 135,711.75

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Solution

The third proportional to 99,774.75 and 135,711.75 is: 184,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774.75 : 135,711.75 = 135,711.75 : x
  2. Step 2: Convert to fraction form
    99,774.75/135,711.75 = 135,711.75/x
  3. Step 3: Cross multiply
    99,774.75x = 135,711.75 × 135,711.75
  4. Step 4: Simplify right side
    99,774.75x = 18,417,679,088.06
  5. Step 5: Solve for x
    x = 18,417,679,088.06/99,774.75
  6. Step 6: Final answer
    x = 184,592.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.