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Finding the Third Proportional to 91,461 and 137,435

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Solution

The third proportional to 91,461 and 137,435 is: 206,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,461 : 137,435 = 137,435 : x
  2. Step 2: Convert to fraction form
    91,461/137,435 = 137,435/x
  3. Step 3: Cross multiply
    91,461x = 137,435 × 137,435
  4. Step 4: Simplify right side
    91,461x = 18,888,379,225
  5. Step 5: Solve for x
    x = 18,888,379,225/91,461
  6. Step 6: Final answer
    x = 206,518.40

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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.