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Finding the Third Proportional to 52,832 and 106,528

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Solution

The third proportional to 52,832 and 106,528 is: 214,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,832 : 106,528 = 106,528 : x
  2. Step 2: Convert to fraction form
    52,832/106,528 = 106,528/x
  3. Step 3: Cross multiply
    52,832x = 106,528 × 106,528
  4. Step 4: Simplify right side
    52,832x = 11,348,214,784
  5. Step 5: Solve for x
    x = 11,348,214,784/52,832
  6. Step 6: Final answer
    x = 214,798.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.