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Finding the Third Proportional to 52,898.77 and 114,101.31

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Solution

The third proportional to 52,898.77 and 114,101.31 is: 246,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,898.77 : 114,101.31 = 114,101.31 : x
  2. Step 2: Convert to fraction form
    52,898.77/114,101.31 = 114,101.31/x
  3. Step 3: Cross multiply
    52,898.77x = 114,101.31 × 114,101.31
  4. Step 4: Simplify right side
    52,898.77x = 13,019,109,959.93
  5. Step 5: Solve for x
    x = 13,019,109,959.93/52,898.77
  6. Step 6: Final answer
    x = 246,113.64

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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.