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Finding the Third Proportional to 43,458 and 94,776

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Solution

The third proportional to 43,458 and 94,776 is: 206,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,458 : 94,776 = 94,776 : x
  2. Step 2: Convert to fraction form
    43,458/94,776 = 94,776/x
  3. Step 3: Cross multiply
    43,458x = 94,776 × 94,776
  4. Step 4: Simplify right side
    43,458x = 8,982,490,176
  5. Step 5: Solve for x
    x = 8,982,490,176/43,458
  6. Step 6: Final answer
    x = 206,693.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.