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Finding the Third Proportional to 65,658 and 95,615.63

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Solution

The third proportional to 65,658 and 95,615.63 is: 139,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,658 : 95,615.63 = 95,615.63 : x
  2. Step 2: Convert to fraction form
    65,658/95,615.63 = 95,615.63/x
  3. Step 3: Cross multiply
    65,658x = 95,615.63 × 95,615.63
  4. Step 4: Simplify right side
    65,658x = 9,142,347,744.14
  5. Step 5: Solve for x
    x = 9,142,347,744.14/65,658
  6. Step 6: Final answer
    x = 139,241.95

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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.