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Finding the Third Proportional to 109,267.50 and 168,754

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Solution

The third proportional to 109,267.50 and 168,754 is: 260,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,267.50 : 168,754 = 168,754 : x
  2. Step 2: Convert to fraction form
    109,267.50/168,754 = 168,754/x
  3. Step 3: Cross multiply
    109,267.50x = 168,754 × 168,754
  4. Step 4: Simplify right side
    109,267.50x = 28,477,912,516
  5. Step 5: Solve for x
    x = 28,477,912,516/109,267.50
  6. Step 6: Final answer
    x = 260,625.64

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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.