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Finding the Third Proportional to 62,398 and 136,820

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Solution

The third proportional to 62,398 and 136,820 is: 300,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,398 : 136,820 = 136,820 : x
  2. Step 2: Convert to fraction form
    62,398/136,820 = 136,820/x
  3. Step 3: Cross multiply
    62,398x = 136,820 × 136,820
  4. Step 4: Simplify right side
    62,398x = 18,719,712,400
  5. Step 5: Solve for x
    x = 18,719,712,400/62,398
  6. Step 6: Final answer
    x = 300,005.01

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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.