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Finding the Third Proportional to 52,903.13 and 113,185.69

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Solution

The third proportional to 52,903.13 and 113,185.69 is: 242,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,903.13 : 113,185.69 = 113,185.69 : x
  2. Step 2: Convert to fraction form
    52,903.13/113,185.69 = 113,185.69/x
  3. Step 3: Cross multiply
    52,903.13x = 113,185.69 × 113,185.69
  4. Step 4: Simplify right side
    52,903.13x = 12,810,999,854.85
  5. Step 5: Solve for x
    x = 12,810,999,854.85/52,903.13
  6. Step 6: Final answer
    x = 242,159.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.