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Finding the Third Proportional to 74,594 and 157,828

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Solution

The third proportional to 74,594 and 157,828 is: 333,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,594 : 157,828 = 157,828 : x
  2. Step 2: Convert to fraction form
    74,594/157,828 = 157,828/x
  3. Step 3: Cross multiply
    74,594x = 157,828 × 157,828
  4. Step 4: Simplify right side
    74,594x = 24,909,677,584
  5. Step 5: Solve for x
    x = 24,909,677,584/74,594
  6. Step 6: Final answer
    x = 333,936.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.