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Finding the Third Proportional to 45,148 and 96,129

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Solution

The third proportional to 45,148 and 96,129 is: 204,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,148 : 96,129 = 96,129 : x
  2. Step 2: Convert to fraction form
    45,148/96,129 = 96,129/x
  3. Step 3: Cross multiply
    45,148x = 96,129 × 96,129
  4. Step 4: Simplify right side
    45,148x = 9,240,784,641
  5. Step 5: Solve for x
    x = 9,240,784,641/45,148
  6. Step 6: Final answer
    x = 204,677.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.