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Finding the Third Proportional to 52,281 and 113,202

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Solution

The third proportional to 52,281 and 113,202 is: 245,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,281 : 113,202 = 113,202 : x
  2. Step 2: Convert to fraction form
    52,281/113,202 = 113,202/x
  3. Step 3: Cross multiply
    52,281x = 113,202 × 113,202
  4. Step 4: Simplify right side
    52,281x = 12,814,692,804
  5. Step 5: Solve for x
    x = 12,814,692,804/52,281
  6. Step 6: Final answer
    x = 245,111.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.