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Finding the Third Proportional to 88,205 and 133,127

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Solution

The third proportional to 88,205 and 133,127 is: 200,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,205 : 133,127 = 133,127 : x
  2. Step 2: Convert to fraction form
    88,205/133,127 = 133,127/x
  3. Step 3: Cross multiply
    88,205x = 133,127 × 133,127
  4. Step 4: Simplify right side
    88,205x = 17,722,798,129
  5. Step 5: Solve for x
    x = 17,722,798,129/88,205
  6. Step 6: Final answer
    x = 200,927.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.