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Finding the Third Proportional to 99,735 and 149,622

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Solution

The third proportional to 99,735 and 149,622 is: 224,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,735 : 149,622 = 149,622 : x
  2. Step 2: Convert to fraction form
    99,735/149,622 = 149,622/x
  3. Step 3: Cross multiply
    99,735x = 149,622 × 149,622
  4. Step 4: Simplify right side
    99,735x = 22,386,742,884
  5. Step 5: Solve for x
    x = 22,386,742,884/99,735
  6. Step 6: Final answer
    x = 224,462.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.