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Finding the Third Proportional to 52,602.75 and 113,953.50

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Solution

The third proportional to 52,602.75 and 113,953.50 is: 246,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602.75 : 113,953.50 = 113,953.50 : x
  2. Step 2: Convert to fraction form
    52,602.75/113,953.50 = 113,953.50/x
  3. Step 3: Cross multiply
    52,602.75x = 113,953.50 × 113,953.50
  4. Step 4: Simplify right side
    52,602.75x = 12,985,400,162.25
  5. Step 5: Solve for x
    x = 12,985,400,162.25/52,602.75
  6. Step 6: Final answer
    x = 246,857.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.