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Finding the Third Proportional to 65,582 and 92,221

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Solution

The third proportional to 65,582 and 92,221 is: 129,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,582 : 92,221 = 92,221 : x
  2. Step 2: Convert to fraction form
    65,582/92,221 = 92,221/x
  3. Step 3: Cross multiply
    65,582x = 92,221 × 92,221
  4. Step 4: Simplify right side
    65,582x = 8,504,712,841
  5. Step 5: Solve for x
    x = 8,504,712,841/65,582
  6. Step 6: Final answer
    x = 129,680.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.