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Finding the Third Proportional to 132,698 and 186,627

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Solution

The third proportional to 132,698 and 186,627 is: 262,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,698 : 186,627 = 186,627 : x
  2. Step 2: Convert to fraction form
    132,698/186,627 = 186,627/x
  3. Step 3: Cross multiply
    132,698x = 186,627 × 186,627
  4. Step 4: Simplify right side
    132,698x = 34,829,637,129
  5. Step 5: Solve for x
    x = 34,829,637,129/132,698
  6. Step 6: Final answer
    x = 262,472.96

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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.