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Finding the Third Proportional to 104,316 and 141,703

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Solution

The third proportional to 104,316 and 141,703 is: 192,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,316 : 141,703 = 141,703 : x
  2. Step 2: Convert to fraction form
    104,316/141,703 = 141,703/x
  3. Step 3: Cross multiply
    104,316x = 141,703 × 141,703
  4. Step 4: Simplify right side
    104,316x = 20,079,740,209
  5. Step 5: Solve for x
    x = 20,079,740,209/104,316
  6. Step 6: Final answer
    x = 192,489.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.