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Finding the Third Proportional to 98,187 and 151,140

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Solution

The third proportional to 98,187 and 151,140 is: 232,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,187 : 151,140 = 151,140 : x
  2. Step 2: Convert to fraction form
    98,187/151,140 = 151,140/x
  3. Step 3: Cross multiply
    98,187x = 151,140 × 151,140
  4. Step 4: Simplify right side
    98,187x = 22,843,299,600
  5. Step 5: Solve for x
    x = 22,843,299,600/98,187
  6. Step 6: Final answer
    x = 232,650.96

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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.