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Finding the Third Proportional to 92,911 and 137,179

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Solution

The third proportional to 92,911 and 137,179 is: 202,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,911 : 137,179 = 137,179 : x
  2. Step 2: Convert to fraction form
    92,911/137,179 = 137,179/x
  3. Step 3: Cross multiply
    92,911x = 137,179 × 137,179
  4. Step 4: Simplify right side
    92,911x = 18,818,078,041
  5. Step 5: Solve for x
    x = 18,818,078,041/92,911
  6. Step 6: Final answer
    x = 202,538.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.