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Finding the Third Proportional to 43,380 and 89,658

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Solution

The third proportional to 43,380 and 89,658 is: 185,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,380 : 89,658 = 89,658 : x
  2. Step 2: Convert to fraction form
    43,380/89,658 = 89,658/x
  3. Step 3: Cross multiply
    43,380x = 89,658 × 89,658
  4. Step 4: Simplify right side
    43,380x = 8,038,556,964
  5. Step 5: Solve for x
    x = 8,038,556,964/43,380
  6. Step 6: Final answer
    x = 185,305.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.