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Finding the Third Proportional to 52,628 and 113,681

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Solution

The third proportional to 52,628 and 113,681 is: 245,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,628 : 113,681 = 113,681 : x
  2. Step 2: Convert to fraction form
    52,628/113,681 = 113,681/x
  3. Step 3: Cross multiply
    52,628x = 113,681 × 113,681
  4. Step 4: Simplify right side
    52,628x = 12,923,369,761
  5. Step 5: Solve for x
    x = 12,923,369,761/52,628
  6. Step 6: Final answer
    x = 245,560.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.