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Finding the Third Proportional to 100,461.94 and 136,436.06

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Solution

The third proportional to 100,461.94 and 136,436.06 is: 185,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461.94 : 136,436.06 = 136,436.06 : x
  2. Step 2: Convert to fraction form
    100,461.94/136,436.06 = 136,436.06/x
  3. Step 3: Cross multiply
    100,461.94x = 136,436.06 × 136,436.06
  4. Step 4: Simplify right side
    100,461.94x = 18,614,799,150.50
  5. Step 5: Solve for x
    x = 18,614,799,150.50/100,461.94
  6. Step 6: Final answer
    x = 185,292.06

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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.