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Finding the Third Proportional to 91,368 and 137,052

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Solution

The third proportional to 91,368 and 137,052 is: 205,578

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,368 : 137,052 = 137,052 : x
  2. Step 2: Convert to fraction form
    91,368/137,052 = 137,052/x
  3. Step 3: Cross multiply
    91,368x = 137,052 × 137,052
  4. Step 4: Simplify right side
    91,368x = 18,783,250,704
  5. Step 5: Solve for x
    x = 18,783,250,704/91,368
  6. Step 6: Final answer
    x = 205,578

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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.