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Finding the Third Proportional to 103,664 and 146,807

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Solution

The third proportional to 103,664 and 146,807 is: 207,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664 : 146,807 = 146,807 : x
  2. Step 2: Convert to fraction form
    103,664/146,807 = 146,807/x
  3. Step 3: Cross multiply
    103,664x = 146,807 × 146,807
  4. Step 4: Simplify right side
    103,664x = 21,552,295,249
  5. Step 5: Solve for x
    x = 21,552,295,249/103,664
  6. Step 6: Final answer
    x = 207,905.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.