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Finding the Third Proportional to 42,725 and 93,491

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Solution

The third proportional to 42,725 and 93,491 is: 204,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,725 : 93,491 = 93,491 : x
  2. Step 2: Convert to fraction form
    42,725/93,491 = 93,491/x
  3. Step 3: Cross multiply
    42,725x = 93,491 × 93,491
  4. Step 4: Simplify right side
    42,725x = 8,740,567,081
  5. Step 5: Solve for x
    x = 8,740,567,081/42,725
  6. Step 6: Final answer
    x = 204,577.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.