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Finding the Third Proportional to 52,732 and 113,528

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Solution

The third proportional to 52,732 and 113,528 is: 244,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,732 : 113,528 = 113,528 : x
  2. Step 2: Convert to fraction form
    52,732/113,528 = 113,528/x
  3. Step 3: Cross multiply
    52,732x = 113,528 × 113,528
  4. Step 4: Simplify right side
    52,732x = 12,888,606,784
  5. Step 5: Solve for x
    x = 12,888,606,784/52,732
  6. Step 6: Final answer
    x = 244,417.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.