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Finding the Third Proportional to 74,432 and 104,336

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Solution

The third proportional to 74,432 and 104,336 is: 146,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,432 : 104,336 = 104,336 : x
  2. Step 2: Convert to fraction form
    74,432/104,336 = 104,336/x
  3. Step 3: Cross multiply
    74,432x = 104,336 × 104,336
  4. Step 4: Simplify right side
    74,432x = 10,886,000,896
  5. Step 5: Solve for x
    x = 10,886,000,896/74,432
  6. Step 6: Final answer
    x = 146,254.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.