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Finding the Third Proportional to 67,807 and 98,632.50

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Solution

The third proportional to 67,807 and 98,632.50 is: 143,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,807 : 98,632.50 = 98,632.50 : x
  2. Step 2: Convert to fraction form
    67,807/98,632.50 = 98,632.50/x
  3. Step 3: Cross multiply
    67,807x = 98,632.50 × 98,632.50
  4. Step 4: Simplify right side
    67,807x = 9,728,370,056.25
  5. Step 5: Solve for x
    x = 9,728,370,056.25/67,807
  6. Step 6: Final answer
    x = 143,471.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.