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Finding the Third Proportional to 43,280 and 93,466

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Solution

The third proportional to 43,280 and 93,466 is: 201,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,280 : 93,466 = 93,466 : x
  2. Step 2: Convert to fraction form
    43,280/93,466 = 93,466/x
  3. Step 3: Cross multiply
    43,280x = 93,466 × 93,466
  4. Step 4: Simplify right side
    43,280x = 8,735,893,156
  5. Step 5: Solve for x
    x = 8,735,893,156/43,280
  6. Step 6: Final answer
    x = 201,845.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.