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Finding the Third Proportional to 91,907 and 130,104

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Solution

The third proportional to 91,907 and 130,104 is: 184,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,907 : 130,104 = 130,104 : x
  2. Step 2: Convert to fraction form
    91,907/130,104 = 130,104/x
  3. Step 3: Cross multiply
    91,907x = 130,104 × 130,104
  4. Step 4: Simplify right side
    91,907x = 16,927,050,816
  5. Step 5: Solve for x
    x = 16,927,050,816/91,907
  6. Step 6: Final answer
    x = 184,175.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.