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Finding the Third Proportional to 53,031 and 114,364.50

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Solution

The third proportional to 53,031 and 114,364.50 is: 246,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,031 : 114,364.50 = 114,364.50 : x
  2. Step 2: Convert to fraction form
    53,031/114,364.50 = 114,364.50/x
  3. Step 3: Cross multiply
    53,031x = 114,364.50 × 114,364.50
  4. Step 4: Simplify right side
    53,031x = 13,079,238,860.25
  5. Step 5: Solve for x
    x = 13,079,238,860.25/53,031
  6. Step 6: Final answer
    x = 246,633.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.