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Finding the Third Proportional to 39,623 and 88,106

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Solution

The third proportional to 39,623 and 88,106 is: 195,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,623 : 88,106 = 88,106 : x
  2. Step 2: Convert to fraction form
    39,623/88,106 = 88,106/x
  3. Step 3: Cross multiply
    39,623x = 88,106 × 88,106
  4. Step 4: Simplify right side
    39,623x = 7,762,667,236
  5. Step 5: Solve for x
    x = 7,762,667,236/39,623
  6. Step 6: Final answer
    x = 195,913.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.