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Finding the Third Proportional to 59,617 and 83,559

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Solution

The third proportional to 59,617 and 83,559 is: 117,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,617 : 83,559 = 83,559 : x
  2. Step 2: Convert to fraction form
    59,617/83,559 = 83,559/x
  3. Step 3: Cross multiply
    59,617x = 83,559 × 83,559
  4. Step 4: Simplify right side
    59,617x = 6,982,106,481
  5. Step 5: Solve for x
    x = 6,982,106,481/59,617
  6. Step 6: Final answer
    x = 117,116.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.