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Finding the Third Proportional to 116,154 and 163,574

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Solution

The third proportional to 116,154 and 163,574 is: 230,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,154 : 163,574 = 163,574 : x
  2. Step 2: Convert to fraction form
    116,154/163,574 = 163,574/x
  3. Step 3: Cross multiply
    116,154x = 163,574 × 163,574
  4. Step 4: Simplify right side
    116,154x = 26,756,453,476
  5. Step 5: Solve for x
    x = 26,756,453,476/116,154
  6. Step 6: Final answer
    x = 230,353.27

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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.