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Finding the Third Proportional to 58,378.50 and 90,564.75

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Solution

The third proportional to 58,378.50 and 90,564.75 is: 140,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378.50 : 90,564.75 = 90,564.75 : x
  2. Step 2: Convert to fraction form
    58,378.50/90,564.75 = 90,564.75/x
  3. Step 3: Cross multiply
    58,378.50x = 90,564.75 × 90,564.75
  4. Step 4: Simplify right side
    58,378.50x = 8,201,973,942.56
  5. Step 5: Solve for x
    x = 8,201,973,942.56/58,378.50
  6. Step 6: Final answer
    x = 140,496.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.