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Finding the Third Proportional to 62,669 and 130,502

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Solution

The third proportional to 62,669 and 130,502 is: 271,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,669 : 130,502 = 130,502 : x
  2. Step 2: Convert to fraction form
    62,669/130,502 = 130,502/x
  3. Step 3: Cross multiply
    62,669x = 130,502 × 130,502
  4. Step 4: Simplify right side
    62,669x = 17,030,772,004
  5. Step 5: Solve for x
    x = 17,030,772,004/62,669
  6. Step 6: Final answer
    x = 271,757.52

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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.