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Finding the Third Proportional to 66,101.50 and 94,229

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Solution

The third proportional to 66,101.50 and 94,229 is: 134,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,101.50 : 94,229 = 94,229 : x
  2. Step 2: Convert to fraction form
    66,101.50/94,229 = 94,229/x
  3. Step 3: Cross multiply
    66,101.50x = 94,229 × 94,229
  4. Step 4: Simplify right side
    66,101.50x = 8,879,104,441
  5. Step 5: Solve for x
    x = 8,879,104,441/66,101.50
  6. Step 6: Final answer
    x = 134,325.31

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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.