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Finding the Third Proportional to 45,222 and 94,572

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Solution

The third proportional to 45,222 and 94,572 is: 197,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,222 : 94,572 = 94,572 : x
  2. Step 2: Convert to fraction form
    45,222/94,572 = 94,572/x
  3. Step 3: Cross multiply
    45,222x = 94,572 × 94,572
  4. Step 4: Simplify right side
    45,222x = 8,943,863,184
  5. Step 5: Solve for x
    x = 8,943,863,184/45,222
  6. Step 6: Final answer
    x = 197,776.82

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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.