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Finding the Third Proportional to 79,085 and 93,028

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Solution

The third proportional to 79,085 and 93,028 is: 109,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,085 : 93,028 = 93,028 : x
  2. Step 2: Convert to fraction form
    79,085/93,028 = 93,028/x
  3. Step 3: Cross multiply
    79,085x = 93,028 × 93,028
  4. Step 4: Simplify right side
    79,085x = 8,654,208,784
  5. Step 5: Solve for x
    x = 8,654,208,784/79,085
  6. Step 6: Final answer
    x = 109,429.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.