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Finding the Third Proportional to 103,079 and 147,010

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Solution

The third proportional to 103,079 and 147,010 is: 209,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,079 : 147,010 = 147,010 : x
  2. Step 2: Convert to fraction form
    103,079/147,010 = 147,010/x
  3. Step 3: Cross multiply
    103,079x = 147,010 × 147,010
  4. Step 4: Simplify right side
    103,079x = 21,611,940,100
  5. Step 5: Solve for x
    x = 21,611,940,100/103,079
  6. Step 6: Final answer
    x = 209,663.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.