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Finding the Third Proportional to 59,713 and 91,047

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Solution

The third proportional to 59,713 and 91,047 is: 138,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,713 : 91,047 = 91,047 : x
  2. Step 2: Convert to fraction form
    59,713/91,047 = 91,047/x
  3. Step 3: Cross multiply
    59,713x = 91,047 × 91,047
  4. Step 4: Simplify right side
    59,713x = 8,289,556,209
  5. Step 5: Solve for x
    x = 8,289,556,209/59,713
  6. Step 6: Final answer
    x = 138,823.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.