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Finding the Third Proportional to 62,620 and 130,412

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Solution

The third proportional to 62,620 and 130,412 is: 271,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,620 : 130,412 = 130,412 : x
  2. Step 2: Convert to fraction form
    62,620/130,412 = 130,412/x
  3. Step 3: Cross multiply
    62,620x = 130,412 × 130,412
  4. Step 4: Simplify right side
    62,620x = 17,007,289,744
  5. Step 5: Solve for x
    x = 17,007,289,744/62,620
  6. Step 6: Final answer
    x = 271,595.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.