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Finding the Third Proportional to 45,451.50 and 93,106.50

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Solution

The third proportional to 45,451.50 and 93,106.50 is: 190,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,451.50 : 93,106.50 = 93,106.50 : x
  2. Step 2: Convert to fraction form
    45,451.50/93,106.50 = 93,106.50/x
  3. Step 3: Cross multiply
    45,451.50x = 93,106.50 × 93,106.50
  4. Step 4: Simplify right side
    45,451.50x = 8,668,820,342.25
  5. Step 5: Solve for x
    x = 8,668,820,342.25/45,451.50
  6. Step 6: Final answer
    x = 190,726.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.