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Finding the Third Proportional to 74,192.50 and 157,213

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Solution

The third proportional to 74,192.50 and 157,213 is: 333,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192.50 : 157,213 = 157,213 : x
  2. Step 2: Convert to fraction form
    74,192.50/157,213 = 157,213/x
  3. Step 3: Cross multiply
    74,192.50x = 157,213 × 157,213
  4. Step 4: Simplify right side
    74,192.50x = 24,715,927,369
  5. Step 5: Solve for x
    x = 24,715,927,369/74,192.50
  6. Step 6: Final answer
    x = 333,132.42

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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.