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Finding the Third Proportional to 100,852 and 147,486

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Solution

The third proportional to 100,852 and 147,486 is: 215,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,852 : 147,486 = 147,486 : x
  2. Step 2: Convert to fraction form
    100,852/147,486 = 147,486/x
  3. Step 3: Cross multiply
    100,852x = 147,486 × 147,486
  4. Step 4: Simplify right side
    100,852x = 21,752,120,196
  5. Step 5: Solve for x
    x = 21,752,120,196/100,852
  6. Step 6: Final answer
    x = 215,683.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.