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Finding the Third Proportional to 42,862 and 94,028

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Solution

The third proportional to 42,862 and 94,028 is: 206,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,862 : 94,028 = 94,028 : x
  2. Step 2: Convert to fraction form
    42,862/94,028 = 94,028/x
  3. Step 3: Cross multiply
    42,862x = 94,028 × 94,028
  4. Step 4: Simplify right side
    42,862x = 8,841,264,784
  5. Step 5: Solve for x
    x = 8,841,264,784/42,862
  6. Step 6: Final answer
    x = 206,272.80

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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.