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Finding the Third Proportional to 52,700 and 124,402

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Solution

The third proportional to 52,700 and 124,402 is: 293,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,700 : 124,402 = 124,402 : x
  2. Step 2: Convert to fraction form
    52,700/124,402 = 124,402/x
  3. Step 3: Cross multiply
    52,700x = 124,402 × 124,402
  4. Step 4: Simplify right side
    52,700x = 15,475,857,604
  5. Step 5: Solve for x
    x = 15,475,857,604/52,700
  6. Step 6: Final answer
    x = 293,659.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.