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Finding the Third Proportional to 100,033 and 153,381

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Solution

The third proportional to 100,033 and 153,381 is: 235,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033 : 153,381 = 153,381 : x
  2. Step 2: Convert to fraction form
    100,033/153,381 = 153,381/x
  3. Step 3: Cross multiply
    100,033x = 153,381 × 153,381
  4. Step 4: Simplify right side
    100,033x = 23,525,731,161
  5. Step 5: Solve for x
    x = 23,525,731,161/100,033
  6. Step 6: Final answer
    x = 235,179.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.