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Finding the Third Proportional to 45,723 and 110,140.50

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Solution

The third proportional to 45,723 and 110,140.50 is: 265,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,723 : 110,140.50 = 110,140.50 : x
  2. Step 2: Convert to fraction form
    45,723/110,140.50 = 110,140.50/x
  3. Step 3: Cross multiply
    45,723x = 110,140.50 × 110,140.50
  4. Step 4: Simplify right side
    45,723x = 12,130,929,740.25
  5. Step 5: Solve for x
    x = 12,130,929,740.25/45,723
  6. Step 6: Final answer
    x = 265,313.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.