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Finding the Third Proportional to 91,004 and 140,394

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Solution

The third proportional to 91,004 and 140,394 is: 216,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,004 : 140,394 = 140,394 : x
  2. Step 2: Convert to fraction form
    91,004/140,394 = 140,394/x
  3. Step 3: Cross multiply
    91,004x = 140,394 × 140,394
  4. Step 4: Simplify right side
    91,004x = 19,710,475,236
  5. Step 5: Solve for x
    x = 19,710,475,236/91,004
  6. Step 6: Final answer
    x = 216,589.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.