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Finding the Third Proportional to 157,411 and 177,094

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Solution

The third proportional to 157,411 and 177,094 is: 199,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,411 : 177,094 = 177,094 : x
  2. Step 2: Convert to fraction form
    157,411/177,094 = 177,094/x
  3. Step 3: Cross multiply
    157,411x = 177,094 × 177,094
  4. Step 4: Simplify right side
    157,411x = 31,362,284,836
  5. Step 5: Solve for x
    x = 31,362,284,836/157,411
  6. Step 6: Final answer
    x = 199,238.20

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.