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Finding the Third Proportional to 66,083 and 94,203.75

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Solution

The third proportional to 66,083 and 94,203.75 is: 134,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,083 : 94,203.75 = 94,203.75 : x
  2. Step 2: Convert to fraction form
    66,083/94,203.75 = 94,203.75/x
  3. Step 3: Cross multiply
    66,083x = 94,203.75 × 94,203.75
  4. Step 4: Simplify right side
    66,083x = 8,874,346,514.06
  5. Step 5: Solve for x
    x = 8,874,346,514.06/66,083
  6. Step 6: Final answer
    x = 134,290.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.