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Finding the Third Proportional to 92,091.07 and 137,568.49

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Solution

The third proportional to 92,091.07 and 137,568.49 is: 205,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,091.07 : 137,568.49 = 137,568.49 : x
  2. Step 2: Convert to fraction form
    92,091.07/137,568.49 = 137,568.49/x
  3. Step 3: Cross multiply
    92,091.07x = 137,568.49 × 137,568.49
  4. Step 4: Simplify right side
    92,091.07x = 18,925,090,445.77
  5. Step 5: Solve for x
    x = 18,925,090,445.77/92,091.07
  6. Step 6: Final answer
    x = 205,504.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.