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Finding the Third Proportional to 59,959 and 86,623.63

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Solution

The third proportional to 59,959 and 86,623.63 is: 125,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,959 : 86,623.63 = 86,623.63 : x
  2. Step 2: Convert to fraction form
    59,959/86,623.63 = 86,623.63/x
  3. Step 3: Cross multiply
    59,959x = 86,623.63 × 86,623.63
  4. Step 4: Simplify right side
    59,959x = 7,503,652,408.14
  5. Step 5: Solve for x
    x = 7,503,652,408.14/59,959
  6. Step 6: Final answer
    x = 125,146.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.