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Finding the Third Proportional to 122,985 and 188,045.50

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Solution

The third proportional to 122,985 and 188,045.50 is: 287,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,985 : 188,045.50 = 188,045.50 : x
  2. Step 2: Convert to fraction form
    122,985/188,045.50 = 188,045.50/x
  3. Step 3: Cross multiply
    122,985x = 188,045.50 × 188,045.50
  4. Step 4: Simplify right side
    122,985x = 35,361,110,070.25
  5. Step 5: Solve for x
    x = 35,361,110,070.25/122,985
  6. Step 6: Final answer
    x = 287,523.76

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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.