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Finding the Third Proportional to 52,908.19 and 114,427.69

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Solution

The third proportional to 52,908.19 and 114,427.69 is: 247,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,908.19 : 114,427.69 = 114,427.69 : x
  2. Step 2: Convert to fraction form
    52,908.19/114,427.69 = 114,427.69/x
  3. Step 3: Cross multiply
    52,908.19x = 114,427.69 × 114,427.69
  4. Step 4: Simplify right side
    52,908.19x = 13,093,695,666.60
  5. Step 5: Solve for x
    x = 13,093,695,666.60/52,908.19
  6. Step 6: Final answer
    x = 247,479.57

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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.