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Finding the Third Proportional to 94,718 and 145,101

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Solution

The third proportional to 94,718 and 145,101 is: 222,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,718 : 145,101 = 145,101 : x
  2. Step 2: Convert to fraction form
    94,718/145,101 = 145,101/x
  3. Step 3: Cross multiply
    94,718x = 145,101 × 145,101
  4. Step 4: Simplify right side
    94,718x = 21,054,300,201
  5. Step 5: Solve for x
    x = 21,054,300,201/94,718
  6. Step 6: Final answer
    x = 222,284.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.