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Finding the Third Proportional to 130,137 and 271,570

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Solution

The third proportional to 130,137 and 271,570 is: 566,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,137 : 271,570 = 271,570 : x
  2. Step 2: Convert to fraction form
    130,137/271,570 = 271,570/x
  3. Step 3: Cross multiply
    130,137x = 271,570 × 271,570
  4. Step 4: Simplify right side
    130,137x = 73,750,264,900
  5. Step 5: Solve for x
    x = 73,750,264,900/130,137
  6. Step 6: Final answer
    x = 566,712.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.