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Finding the Third Proportional to 91,875.38 and 137,813.63

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Solution

The third proportional to 91,875.38 and 137,813.63 is: 206,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,875.38 : 137,813.63 = 137,813.63 : x
  2. Step 2: Convert to fraction form
    91,875.38/137,813.63 = 137,813.63/x
  3. Step 3: Cross multiply
    91,875.38x = 137,813.63 × 137,813.63
  4. Step 4: Simplify right side
    91,875.38x = 18,992,595,235.64
  5. Step 5: Solve for x
    x = 18,992,595,235.64/91,875.38
  6. Step 6: Final answer
    x = 206,721.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.