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Finding the Third Proportional to 104,071 and 155,686

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Solution

The third proportional to 104,071 and 155,686 is: 232,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,071 : 155,686 = 155,686 : x
  2. Step 2: Convert to fraction form
    104,071/155,686 = 155,686/x
  3. Step 3: Cross multiply
    104,071x = 155,686 × 155,686
  4. Step 4: Simplify right side
    104,071x = 24,238,130,596
  5. Step 5: Solve for x
    x = 24,238,130,596/104,071
  6. Step 6: Final answer
    x = 232,899.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.