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Finding the Third Proportional to 115,466.50 and 248,123

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Solution

The third proportional to 115,466.50 and 248,123 is: 533,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,466.50 : 248,123 = 248,123 : x
  2. Step 2: Convert to fraction form
    115,466.50/248,123 = 248,123/x
  3. Step 3: Cross multiply
    115,466.50x = 248,123 × 248,123
  4. Step 4: Simplify right side
    115,466.50x = 61,565,023,129
  5. Step 5: Solve for x
    x = 61,565,023,129/115,466.50
  6. Step 6: Final answer
    x = 533,185.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.