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Finding the Third Proportional to 99,450 and 139,047

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Solution

The third proportional to 99,450 and 139,047 is: 194,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,450 : 139,047 = 139,047 : x
  2. Step 2: Convert to fraction form
    99,450/139,047 = 139,047/x
  3. Step 3: Cross multiply
    99,450x = 139,047 × 139,047
  4. Step 4: Simplify right side
    99,450x = 19,334,068,209
  5. Step 5: Solve for x
    x = 19,334,068,209/99,450
  6. Step 6: Final answer
    x = 194,409.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.