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Finding the Third Proportional to 92,913 and 137,182

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Solution

The third proportional to 92,913 and 137,182 is: 202,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,913 : 137,182 = 137,182 : x
  2. Step 2: Convert to fraction form
    92,913/137,182 = 137,182/x
  3. Step 3: Cross multiply
    92,913x = 137,182 × 137,182
  4. Step 4: Simplify right side
    92,913x = 18,818,901,124
  5. Step 5: Solve for x
    x = 18,818,901,124/92,913
  6. Step 6: Final answer
    x = 202,543.25

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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.