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Finding the Third Proportional to 98,212 and 151,152

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Solution

The third proportional to 98,212 and 151,152 is: 232,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212 : 151,152 = 151,152 : x
  2. Step 2: Convert to fraction form
    98,212/151,152 = 151,152/x
  3. Step 3: Cross multiply
    98,212x = 151,152 × 151,152
  4. Step 4: Simplify right side
    98,212x = 22,846,927,104
  5. Step 5: Solve for x
    x = 22,846,927,104/98,212
  6. Step 6: Final answer
    x = 232,628.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.