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Finding the Third Proportional to 104,114 and 147,421

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Solution

The third proportional to 104,114 and 147,421 is: 208,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,114 : 147,421 = 147,421 : x
  2. Step 2: Convert to fraction form
    104,114/147,421 = 147,421/x
  3. Step 3: Cross multiply
    104,114x = 147,421 × 147,421
  4. Step 4: Simplify right side
    104,114x = 21,732,951,241
  5. Step 5: Solve for x
    x = 21,732,951,241/104,114
  6. Step 6: Final answer
    x = 208,741.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.