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Finding the Third Proportional to 122,245.31 and 187,000.31

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Solution

The third proportional to 122,245.31 and 187,000.31 is: 286,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,245.31 : 187,000.31 = 187,000.31 : x
  2. Step 2: Convert to fraction form
    122,245.31/187,000.31 = 187,000.31/x
  3. Step 3: Cross multiply
    122,245.31x = 187,000.31 × 187,000.31
  4. Step 4: Simplify right side
    122,245.31x = 34,969,116,875.10
  5. Step 5: Solve for x
    x = 34,969,116,875.10/122,245.31
  6. Step 6: Final answer
    x = 286,056.91

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Why These Related Problems?

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