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Finding the Third Proportional to 69,629 and 101,465

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Solution

The third proportional to 69,629 and 101,465 is: 147,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,629 : 101,465 = 101,465 : x
  2. Step 2: Convert to fraction form
    69,629/101,465 = 101,465/x
  3. Step 3: Cross multiply
    69,629x = 101,465 × 101,465
  4. Step 4: Simplify right side
    69,629x = 10,295,146,225
  5. Step 5: Solve for x
    x = 10,295,146,225/69,629
  6. Step 6: Final answer
    x = 147,857.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.