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Finding the Third Proportional to 104,177 and 147,506

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Solution

The third proportional to 104,177 and 147,506 is: 208,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,177 : 147,506 = 147,506 : x
  2. Step 2: Convert to fraction form
    104,177/147,506 = 147,506/x
  3. Step 3: Cross multiply
    104,177x = 147,506 × 147,506
  4. Step 4: Simplify right side
    104,177x = 21,758,020,036
  5. Step 5: Solve for x
    x = 21,758,020,036/104,177
  6. Step 6: Final answer
    x = 208,856.27

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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.