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Finding the Third Proportional to 91,020 and 135,827

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Solution

The third proportional to 91,020 and 135,827 is: 202,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,020 : 135,827 = 135,827 : x
  2. Step 2: Convert to fraction form
    91,020/135,827 = 135,827/x
  3. Step 3: Cross multiply
    91,020x = 135,827 × 135,827
  4. Step 4: Simplify right side
    91,020x = 18,448,973,929
  5. Step 5: Solve for x
    x = 18,448,973,929/91,020
  6. Step 6: Final answer
    x = 202,691.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.