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Finding the Third Proportional to 45,252 and 99,261

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Solution

The third proportional to 45,252 and 99,261 is: 217,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,252 : 99,261 = 99,261 : x
  2. Step 2: Convert to fraction form
    45,252/99,261 = 99,261/x
  3. Step 3: Cross multiply
    45,252x = 99,261 × 99,261
  4. Step 4: Simplify right side
    45,252x = 9,852,746,121
  5. Step 5: Solve for x
    x = 9,852,746,121/45,252
  6. Step 6: Final answer
    x = 217,730.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.