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Finding the Third Proportional to 77,682 and 116,482.50

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Solution

The third proportional to 77,682 and 116,482.50 is: 174,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682 : 116,482.50 = 116,482.50 : x
  2. Step 2: Convert to fraction form
    77,682/116,482.50 = 116,482.50/x
  3. Step 3: Cross multiply
    77,682x = 116,482.50 × 116,482.50
  4. Step 4: Simplify right side
    77,682x = 13,568,172,806.25
  5. Step 5: Solve for x
    x = 13,568,172,806.25/77,682
  6. Step 6: Final answer
    x = 174,663.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.