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Finding the Third Proportional to 45,234 and 94,594.50

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Solution

The third proportional to 45,234 and 94,594.50 is: 197,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234 : 94,594.50 = 94,594.50 : x
  2. Step 2: Convert to fraction form
    45,234/94,594.50 = 94,594.50/x
  3. Step 3: Cross multiply
    45,234x = 94,594.50 × 94,594.50
  4. Step 4: Simplify right side
    45,234x = 8,948,119,430.25
  5. Step 5: Solve for x
    x = 8,948,119,430.25/45,234
  6. Step 6: Final answer
    x = 197,818.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.