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Finding the Third Proportional to 57,948 and 92,106

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Solution

The third proportional to 57,948 and 92,106 is: 146,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,948 : 92,106 = 92,106 : x
  2. Step 2: Convert to fraction form
    57,948/92,106 = 92,106/x
  3. Step 3: Cross multiply
    57,948x = 92,106 × 92,106
  4. Step 4: Simplify right side
    57,948x = 8,483,515,236
  5. Step 5: Solve for x
    x = 8,483,515,236/57,948
  6. Step 6: Final answer
    x = 146,398.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.