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Finding the Third Proportional to 48,888 and 76,254

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Solution

The third proportional to 48,888 and 76,254 is: 118,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,888 : 76,254 = 76,254 : x
  2. Step 2: Convert to fraction form
    48,888/76,254 = 76,254/x
  3. Step 3: Cross multiply
    48,888x = 76,254 × 76,254
  4. Step 4: Simplify right side
    48,888x = 5,814,672,516
  5. Step 5: Solve for x
    x = 5,814,672,516/48,888
  6. Step 6: Final answer
    x = 118,938.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.