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Finding the Third Proportional to 115,468.50 and 248,127

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Solution

The third proportional to 115,468.50 and 248,127 is: 533,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,468.50 : 248,127 = 248,127 : x
  2. Step 2: Convert to fraction form
    115,468.50/248,127 = 248,127/x
  3. Step 3: Cross multiply
    115,468.50x = 248,127 × 248,127
  4. Step 4: Simplify right side
    115,468.50x = 61,567,008,129
  5. Step 5: Solve for x
    x = 61,567,008,129/115,468.50
  6. Step 6: Final answer
    x = 533,193.11

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