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Finding the Third Proportional to 69,102 and 146,507

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Solution

The third proportional to 69,102 and 146,507 is: 310,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102 : 146,507 = 146,507 : x
  2. Step 2: Convert to fraction form
    69,102/146,507 = 146,507/x
  3. Step 3: Cross multiply
    69,102x = 146,507 × 146,507
  4. Step 4: Simplify right side
    69,102x = 21,464,301,049
  5. Step 5: Solve for x
    x = 21,464,301,049/69,102
  6. Step 6: Final answer
    x = 310,617.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.