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Finding the Third Proportional to 52,628 and 112,720

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Solution

The third proportional to 52,628 and 112,720 is: 241,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,628 : 112,720 = 112,720 : x
  2. Step 2: Convert to fraction form
    52,628/112,720 = 112,720/x
  3. Step 3: Cross multiply
    52,628x = 112,720 × 112,720
  4. Step 4: Simplify right side
    52,628x = 12,705,798,400
  5. Step 5: Solve for x
    x = 12,705,798,400/52,628
  6. Step 6: Final answer
    x = 241,426.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.