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Finding the Third Proportional to 64,588 and 87,666

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Solution

The third proportional to 64,588 and 87,666 is: 118,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,588 : 87,666 = 87,666 : x
  2. Step 2: Convert to fraction form
    64,588/87,666 = 87,666/x
  3. Step 3: Cross multiply
    64,588x = 87,666 × 87,666
  4. Step 4: Simplify right side
    64,588x = 7,685,327,556
  5. Step 5: Solve for x
    x = 7,685,327,556/64,588
  6. Step 6: Final answer
    x = 118,990.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.