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Finding the Third Proportional to 66,499.50 and 105,285

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Solution

The third proportional to 66,499.50 and 105,285 is: 166,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,499.50 : 105,285 = 105,285 : x
  2. Step 2: Convert to fraction form
    66,499.50/105,285 = 105,285/x
  3. Step 3: Cross multiply
    66,499.50x = 105,285 × 105,285
  4. Step 4: Simplify right side
    66,499.50x = 11,084,931,225
  5. Step 5: Solve for x
    x = 11,084,931,225/66,499.50
  6. Step 6: Final answer
    x = 166,691.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.