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Finding the Third Proportional to 75,188 and 105,114

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Solution

The third proportional to 75,188 and 105,114 is: 146,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188 : 105,114 = 105,114 : x
  2. Step 2: Convert to fraction form
    75,188/105,114 = 105,114/x
  3. Step 3: Cross multiply
    75,188x = 105,114 × 105,114
  4. Step 4: Simplify right side
    75,188x = 11,048,952,996
  5. Step 5: Solve for x
    x = 11,048,952,996/75,188
  6. Step 6: Final answer
    x = 146,951.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.