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Finding the Third Proportional to 103,437 and 160,806

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Solution

The third proportional to 103,437 and 160,806 is: 249,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,437 : 160,806 = 160,806 : x
  2. Step 2: Convert to fraction form
    103,437/160,806 = 160,806/x
  3. Step 3: Cross multiply
    103,437x = 160,806 × 160,806
  4. Step 4: Simplify right side
    103,437x = 25,858,569,636
  5. Step 5: Solve for x
    x = 25,858,569,636/103,437
  6. Step 6: Final answer
    x = 249,993.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.