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Finding the Third Proportional to 53,350.13 and 114,607.88

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Solution

The third proportional to 53,350.13 and 114,607.88 is: 246,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,350.13 : 114,607.88 = 114,607.88 : x
  2. Step 2: Convert to fraction form
    53,350.13/114,607.88 = 114,607.88/x
  3. Step 3: Cross multiply
    53,350.13x = 114,607.88 × 114,607.88
  4. Step 4: Simplify right side
    53,350.13x = 13,134,965,012.02
  5. Step 5: Solve for x
    x = 13,134,965,012.02/53,350.13
  6. Step 6: Final answer
    x = 246,203.08

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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.