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Finding the Third Proportional to 65,364 and 92,046

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Solution

The third proportional to 65,364 and 92,046 is: 129,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,364 : 92,046 = 92,046 : x
  2. Step 2: Convert to fraction form
    65,364/92,046 = 92,046/x
  3. Step 3: Cross multiply
    65,364x = 92,046 × 92,046
  4. Step 4: Simplify right side
    65,364x = 8,472,466,116
  5. Step 5: Solve for x
    x = 8,472,466,116/65,364
  6. Step 6: Final answer
    x = 129,619.76

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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.