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Finding the Third Proportional to 91,741 and 145,958

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Solution

The third proportional to 91,741 and 145,958 is: 232,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,741 : 145,958 = 145,958 : x
  2. Step 2: Convert to fraction form
    91,741/145,958 = 145,958/x
  3. Step 3: Cross multiply
    91,741x = 145,958 × 145,958
  4. Step 4: Simplify right side
    91,741x = 21,303,737,764
  5. Step 5: Solve for x
    x = 21,303,737,764/91,741
  6. Step 6: Final answer
    x = 232,216.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.