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Finding the Third Proportional to 52,498 and 115,202

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Solution

The third proportional to 52,498 and 115,202 is: 252,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498 : 115,202 = 115,202 : x
  2. Step 2: Convert to fraction form
    52,498/115,202 = 115,202/x
  3. Step 3: Cross multiply
    52,498x = 115,202 × 115,202
  4. Step 4: Simplify right side
    52,498x = 13,271,500,804
  5. Step 5: Solve for x
    x = 13,271,500,804/52,498
  6. Step 6: Final answer
    x = 252,800.12

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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.