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Finding the Third Proportional to 69,006 and 101,235

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Solution

The third proportional to 69,006 and 101,235 is: 148,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,006 : 101,235 = 101,235 : x
  2. Step 2: Convert to fraction form
    69,006/101,235 = 101,235/x
  3. Step 3: Cross multiply
    69,006x = 101,235 × 101,235
  4. Step 4: Simplify right side
    69,006x = 10,248,525,225
  5. Step 5: Solve for x
    x = 10,248,525,225/69,006
  6. Step 6: Final answer
    x = 148,516.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.