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Finding the Third Proportional to 122,308.50 and 187,110

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Solution

The third proportional to 122,308.50 and 187,110 is: 286,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,308.50 : 187,110 = 187,110 : x
  2. Step 2: Convert to fraction form
    122,308.50/187,110 = 187,110/x
  3. Step 3: Cross multiply
    122,308.50x = 187,110 × 187,110
  4. Step 4: Simplify right side
    122,308.50x = 35,010,152,100
  5. Step 5: Solve for x
    x = 35,010,152,100/122,308.50
  6. Step 6: Final answer
    x = 286,244.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.