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Finding the Third Proportional to 94,020 and 145,652

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Solution

The third proportional to 94,020 and 145,652 is: 225,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,020 : 145,652 = 145,652 : x
  2. Step 2: Convert to fraction form
    94,020/145,652 = 145,652/x
  3. Step 3: Cross multiply
    94,020x = 145,652 × 145,652
  4. Step 4: Simplify right side
    94,020x = 21,214,505,104
  5. Step 5: Solve for x
    x = 21,214,505,104/94,020
  6. Step 6: Final answer
    x = 225,638.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.