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Finding the Third Proportional to 103,684 and 160,854

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Solution

The third proportional to 103,684 and 160,854 is: 249,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 160,854 = 160,854 : x
  2. Step 2: Convert to fraction form
    103,684/160,854 = 160,854/x
  3. Step 3: Cross multiply
    103,684x = 160,854 × 160,854
  4. Step 4: Simplify right side
    103,684x = 25,874,009,316
  5. Step 5: Solve for x
    x = 25,874,009,316/103,684
  6. Step 6: Final answer
    x = 249,546.79

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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.