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Finding the Third Proportional to 92,909 and 137,176

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Solution

The third proportional to 92,909 and 137,176 is: 202,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,909 : 137,176 = 137,176 : x
  2. Step 2: Convert to fraction form
    92,909/137,176 = 137,176/x
  3. Step 3: Cross multiply
    92,909x = 137,176 × 137,176
  4. Step 4: Simplify right side
    92,909x = 18,817,254,976
  5. Step 5: Solve for x
    x = 18,817,254,976/92,909
  6. Step 6: Final answer
    x = 202,534.25

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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.