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Finding the Third Proportional to 52,332.75 and 114,618.38

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Solution

The third proportional to 52,332.75 and 114,618.38 is: 251,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332.75 : 114,618.38 = 114,618.38 : x
  2. Step 2: Convert to fraction form
    52,332.75/114,618.38 = 114,618.38/x
  3. Step 3: Cross multiply
    52,332.75x = 114,618.38 × 114,618.38
  4. Step 4: Simplify right side
    52,332.75x = 13,137,371,887.64
  5. Step 5: Solve for x
    x = 13,137,371,887.64/52,332.75
  6. Step 6: Final answer
    x = 251,035.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.