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Finding the Third Proportional to 66,896 and 103,284

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Solution

The third proportional to 66,896 and 103,284 is: 159,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,896 : 103,284 = 103,284 : x
  2. Step 2: Convert to fraction form
    66,896/103,284 = 103,284/x
  3. Step 3: Cross multiply
    66,896x = 103,284 × 103,284
  4. Step 4: Simplify right side
    66,896x = 10,667,584,656
  5. Step 5: Solve for x
    x = 10,667,584,656/66,896
  6. Step 6: Final answer
    x = 159,465.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.