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Finding the Third Proportional to 92,938 and 107,410

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Solution

The third proportional to 92,938 and 107,410 is: 124,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938 : 107,410 = 107,410 : x
  2. Step 2: Convert to fraction form
    92,938/107,410 = 107,410/x
  3. Step 3: Cross multiply
    92,938x = 107,410 × 107,410
  4. Step 4: Simplify right side
    92,938x = 11,536,908,100
  5. Step 5: Solve for x
    x = 11,536,908,100/92,938
  6. Step 6: Final answer
    x = 124,135.53

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.