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Finding the Third Proportional to 104,803 and 148,153

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Solution

The third proportional to 104,803 and 148,153 is: 209,434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,803 : 148,153 = 148,153 : x
  2. Step 2: Convert to fraction form
    104,803/148,153 = 148,153/x
  3. Step 3: Cross multiply
    104,803x = 148,153 × 148,153
  4. Step 4: Simplify right side
    104,803x = 21,949,311,409
  5. Step 5: Solve for x
    x = 21,949,311,409/104,803
  6. Step 6: Final answer
    x = 209,434.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.