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Finding the Third Proportional to 43,685 and 93,094

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Solution

The third proportional to 43,685 and 93,094 is: 198,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,685 : 93,094 = 93,094 : x
  2. Step 2: Convert to fraction form
    43,685/93,094 = 93,094/x
  3. Step 3: Cross multiply
    43,685x = 93,094 × 93,094
  4. Step 4: Simplify right side
    43,685x = 8,666,492,836
  5. Step 5: Solve for x
    x = 8,666,492,836/43,685
  6. Step 6: Final answer
    x = 198,386.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.