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Finding the Third Proportional to 52,812 and 114,732

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Solution

The third proportional to 52,812 and 114,732 is: 249,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,812 : 114,732 = 114,732 : x
  2. Step 2: Convert to fraction form
    52,812/114,732 = 114,732/x
  3. Step 3: Cross multiply
    52,812x = 114,732 × 114,732
  4. Step 4: Simplify right side
    52,812x = 13,163,431,824
  5. Step 5: Solve for x
    x = 13,163,431,824/52,812
  6. Step 6: Final answer
    x = 249,250.77

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Why These Related Problems?

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