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Finding the Third Proportional to 74,602 and 157,844

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Solution

The third proportional to 74,602 and 157,844 is: 333,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602 : 157,844 = 157,844 : x
  2. Step 2: Convert to fraction form
    74,602/157,844 = 157,844/x
  3. Step 3: Cross multiply
    74,602x = 157,844 × 157,844
  4. Step 4: Simplify right side
    74,602x = 24,914,728,336
  5. Step 5: Solve for x
    x = 24,914,728,336/74,602
  6. Step 6: Final answer
    x = 333,968.64

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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.