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Finding the Third Proportional to 68,527 and 102,790.50

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Solution

The third proportional to 68,527 and 102,790.50 is: 154,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527 : 102,790.50 = 102,790.50 : x
  2. Step 2: Convert to fraction form
    68,527/102,790.50 = 102,790.50/x
  3. Step 3: Cross multiply
    68,527x = 102,790.50 × 102,790.50
  4. Step 4: Simplify right side
    68,527x = 10,565,886,890.25
  5. Step 5: Solve for x
    x = 10,565,886,890.25/68,527
  6. Step 6: Final answer
    x = 154,185.75

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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.