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Finding the Third Proportional to 52,020 and 113,706

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Solution

The third proportional to 52,020 and 113,706 is: 248,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020 : 113,706 = 113,706 : x
  2. Step 2: Convert to fraction form
    52,020/113,706 = 113,706/x
  3. Step 3: Cross multiply
    52,020x = 113,706 × 113,706
  4. Step 4: Simplify right side
    52,020x = 12,929,054,436
  5. Step 5: Solve for x
    x = 12,929,054,436/52,020
  6. Step 6: Final answer
    x = 248,540.07

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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.