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Finding the Third Proportional to 88,302 and 133,263

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Solution

The third proportional to 88,302 and 133,263 is: 201,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,302 : 133,263 = 133,263 : x
  2. Step 2: Convert to fraction form
    88,302/133,263 = 133,263/x
  3. Step 3: Cross multiply
    88,302x = 133,263 × 133,263
  4. Step 4: Simplify right side
    88,302x = 17,759,027,169
  5. Step 5: Solve for x
    x = 17,759,027,169/88,302
  6. Step 6: Final answer
    x = 201,116.93

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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.