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Finding the Third Proportional to 65,756 and 93,043

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Solution

The third proportional to 65,756 and 93,043 is: 131,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,756 : 93,043 = 93,043 : x
  2. Step 2: Convert to fraction form
    65,756/93,043 = 93,043/x
  3. Step 3: Cross multiply
    65,756x = 93,043 × 93,043
  4. Step 4: Simplify right side
    65,756x = 8,656,999,849
  5. Step 5: Solve for x
    x = 8,656,999,849/65,756
  6. Step 6: Final answer
    x = 131,653.38

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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.