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Finding the Third Proportional to 117,050 and 177,274

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Solution

The third proportional to 117,050 and 177,274 is: 268,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,050 : 177,274 = 177,274 : x
  2. Step 2: Convert to fraction form
    117,050/177,274 = 177,274/x
  3. Step 3: Cross multiply
    117,050x = 177,274 × 177,274
  4. Step 4: Simplify right side
    117,050x = 31,426,071,076
  5. Step 5: Solve for x
    x = 31,426,071,076/117,050
  6. Step 6: Final answer
    x = 268,484.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.