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Finding the Third Proportional to 102,112 and 153,276

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Solution

The third proportional to 102,112 and 153,276 is: 230,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,112 : 153,276 = 153,276 : x
  2. Step 2: Convert to fraction form
    102,112/153,276 = 153,276/x
  3. Step 3: Cross multiply
    102,112x = 153,276 × 153,276
  4. Step 4: Simplify right side
    102,112x = 23,493,532,176
  5. Step 5: Solve for x
    x = 23,493,532,176/102,112
  6. Step 6: Final answer
    x = 230,076.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.