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Finding the Third Proportional to 57,747 and 126,528

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Solution

The third proportional to 57,747 and 126,528 is: 277,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747 : 126,528 = 126,528 : x
  2. Step 2: Convert to fraction form
    57,747/126,528 = 126,528/x
  3. Step 3: Cross multiply
    57,747x = 126,528 × 126,528
  4. Step 4: Simplify right side
    57,747x = 16,009,334,784
  5. Step 5: Solve for x
    x = 16,009,334,784/57,747
  6. Step 6: Final answer
    x = 277,232.32

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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.