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Finding the Third Proportional to 124,420 and 188,934

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Solution

The third proportional to 124,420 and 188,934 is: 286,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,420 : 188,934 = 188,934 : x
  2. Step 2: Convert to fraction form
    124,420/188,934 = 188,934/x
  3. Step 3: Cross multiply
    124,420x = 188,934 × 188,934
  4. Step 4: Simplify right side
    124,420x = 35,696,056,356
  5. Step 5: Solve for x
    x = 35,696,056,356/124,420
  6. Step 6: Final answer
    x = 286,899.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.