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Finding the Third Proportional to 45,313 and 68,929.50

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Solution

The third proportional to 45,313 and 68,929.50 is: 104,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,313 : 68,929.50 = 68,929.50 : x
  2. Step 2: Convert to fraction form
    45,313/68,929.50 = 68,929.50/x
  3. Step 3: Cross multiply
    45,313x = 68,929.50 × 68,929.50
  4. Step 4: Simplify right side
    45,313x = 4,751,275,970.25
  5. Step 5: Solve for x
    x = 4,751,275,970.25/45,313
  6. Step 6: Final answer
    x = 104,854.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.