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Finding the Third Proportional to 102,648 and 153,558

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Solution

The third proportional to 102,648 and 153,558 is: 229,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,648 : 153,558 = 153,558 : x
  2. Step 2: Convert to fraction form
    102,648/153,558 = 153,558/x
  3. Step 3: Cross multiply
    102,648x = 153,558 × 153,558
  4. Step 4: Simplify right side
    102,648x = 23,580,059,364
  5. Step 5: Solve for x
    x = 23,580,059,364/102,648
  6. Step 6: Final answer
    x = 229,717.67

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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.