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Finding the Third Proportional to 65,758 and 93,046

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Solution

The third proportional to 65,758 and 93,046 is: 131,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,758 : 93,046 = 93,046 : x
  2. Step 2: Convert to fraction form
    65,758/93,046 = 93,046/x
  3. Step 3: Cross multiply
    65,758x = 93,046 × 93,046
  4. Step 4: Simplify right side
    65,758x = 8,657,558,116
  5. Step 5: Solve for x
    x = 8,657,558,116/65,758
  6. Step 6: Final answer
    x = 131,657.87

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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.