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Finding the Third Proportional to 100,501 and 136,490

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Solution

The third proportional to 100,501 and 136,490 is: 185,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,501 : 136,490 = 136,490 : x
  2. Step 2: Convert to fraction form
    100,501/136,490 = 136,490/x
  3. Step 3: Cross multiply
    100,501x = 136,490 × 136,490
  4. Step 4: Simplify right side
    100,501x = 18,629,520,100
  5. Step 5: Solve for x
    x = 18,629,520,100/100,501
  6. Step 6: Final answer
    x = 185,366.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.