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Finding the Third Proportional to 74,248 and 107,276

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Solution

The third proportional to 74,248 and 107,276 is: 154,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,248 : 107,276 = 107,276 : x
  2. Step 2: Convert to fraction form
    74,248/107,276 = 107,276/x
  3. Step 3: Cross multiply
    74,248x = 107,276 × 107,276
  4. Step 4: Simplify right side
    74,248x = 11,508,140,176
  5. Step 5: Solve for x
    x = 11,508,140,176/74,248
  6. Step 6: Final answer
    x = 154,995.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.