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Finding the Third Proportional to 104,427 and 147,726

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Solution

The third proportional to 104,427 and 147,726 is: 208,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,427 : 147,726 = 147,726 : x
  2. Step 2: Convert to fraction form
    104,427/147,726 = 147,726/x
  3. Step 3: Cross multiply
    104,427x = 147,726 × 147,726
  4. Step 4: Simplify right side
    104,427x = 21,822,971,076
  5. Step 5: Solve for x
    x = 21,822,971,076/104,427
  6. Step 6: Final answer
    x = 208,978.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.