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Finding the Third Proportional to 59,266.50 and 86,559

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Solution

The third proportional to 59,266.50 and 86,559 is: 126,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,266.50 : 86,559 = 86,559 : x
  2. Step 2: Convert to fraction form
    59,266.50/86,559 = 86,559/x
  3. Step 3: Cross multiply
    59,266.50x = 86,559 × 86,559
  4. Step 4: Simplify right side
    59,266.50x = 7,492,460,481
  5. Step 5: Solve for x
    x = 7,492,460,481/59,266.50
  6. Step 6: Final answer
    x = 126,419.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.