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Finding the Third Proportional to 101,208 and 151,263

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Solution

The third proportional to 101,208 and 151,263 is: 226,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,208 : 151,263 = 151,263 : x
  2. Step 2: Convert to fraction form
    101,208/151,263 = 151,263/x
  3. Step 3: Cross multiply
    101,208x = 151,263 × 151,263
  4. Step 4: Simplify right side
    101,208x = 22,880,495,169
  5. Step 5: Solve for x
    x = 22,880,495,169/101,208
  6. Step 6: Final answer
    x = 226,073.98

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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.