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Finding the Third Proportional to 100,592 and 186,919

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Solution

The third proportional to 100,592 and 186,919 is: 347,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,592 : 186,919 = 186,919 : x
  2. Step 2: Convert to fraction form
    100,592/186,919 = 186,919/x
  3. Step 3: Cross multiply
    100,592x = 186,919 × 186,919
  4. Step 4: Simplify right side
    100,592x = 34,938,712,561
  5. Step 5: Solve for x
    x = 34,938,712,561/100,592
  6. Step 6: Final answer
    x = 347,330.93

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.