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Finding the Third Proportional to 64,810 and 92,677

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Solution

The third proportional to 64,810 and 92,677 is: 132,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810 : 92,677 = 92,677 : x
  2. Step 2: Convert to fraction form
    64,810/92,677 = 92,677/x
  3. Step 3: Cross multiply
    64,810x = 92,677 × 92,677
  4. Step 4: Simplify right side
    64,810x = 8,589,026,329
  5. Step 5: Solve for x
    x = 8,589,026,329/64,810
  6. Step 6: Final answer
    x = 132,526.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.