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Finding the Third Proportional to 119,636 and 174,261

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Solution

The third proportional to 119,636 and 174,261 is: 253,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,636 : 174,261 = 174,261 : x
  2. Step 2: Convert to fraction form
    119,636/174,261 = 174,261/x
  3. Step 3: Cross multiply
    119,636x = 174,261 × 174,261
  4. Step 4: Simplify right side
    119,636x = 30,366,896,121
  5. Step 5: Solve for x
    x = 30,366,896,121/119,636
  6. Step 6: Final answer
    x = 253,827.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.