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Finding the Third Proportional to 94,827 and 138,735

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Solution

The third proportional to 94,827 and 138,735 is: 202,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,827 : 138,735 = 138,735 : x
  2. Step 2: Convert to fraction form
    94,827/138,735 = 138,735/x
  3. Step 3: Cross multiply
    94,827x = 138,735 × 138,735
  4. Step 4: Simplify right side
    94,827x = 19,247,400,225
  5. Step 5: Solve for x
    x = 19,247,400,225/94,827
  6. Step 6: Final answer
    x = 202,973.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.