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Finding the Third Proportional to 100,356 and 137,613

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Solution

The third proportional to 100,356 and 137,613 is: 188,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,356 : 137,613 = 137,613 : x
  2. Step 2: Convert to fraction form
    100,356/137,613 = 137,613/x
  3. Step 3: Cross multiply
    100,356x = 137,613 × 137,613
  4. Step 4: Simplify right side
    100,356x = 18,937,337,769
  5. Step 5: Solve for x
    x = 18,937,337,769/100,356
  6. Step 6: Final answer
    x = 188,701.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.