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Finding the Third Proportional to 58,401 and 91,237.50

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Solution

The third proportional to 58,401 and 91,237.50 is: 142,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,401 : 91,237.50 = 91,237.50 : x
  2. Step 2: Convert to fraction form
    58,401/91,237.50 = 91,237.50/x
  3. Step 3: Cross multiply
    58,401x = 91,237.50 × 91,237.50
  4. Step 4: Simplify right side
    58,401x = 8,324,281,406.25
  5. Step 5: Solve for x
    x = 8,324,281,406.25/58,401
  6. Step 6: Final answer
    x = 142,536.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.