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Finding the Third Proportional to 42,111 and 93,564

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Solution

The third proportional to 42,111 and 93,564 is: 207,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,111 : 93,564 = 93,564 : x
  2. Step 2: Convert to fraction form
    42,111/93,564 = 93,564/x
  3. Step 3: Cross multiply
    42,111x = 93,564 × 93,564
  4. Step 4: Simplify right side
    42,111x = 8,754,222,096
  5. Step 5: Solve for x
    x = 8,754,222,096/42,111
  6. Step 6: Final answer
    x = 207,884.45

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.