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Finding the Third Proportional to 67,056 and 139,567.50

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Solution

The third proportional to 67,056 and 139,567.50 is: 290,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,056 : 139,567.50 = 139,567.50 : x
  2. Step 2: Convert to fraction form
    67,056/139,567.50 = 139,567.50/x
  3. Step 3: Cross multiply
    67,056x = 139,567.50 × 139,567.50
  4. Step 4: Simplify right side
    67,056x = 19,479,087,056.25
  5. Step 5: Solve for x
    x = 19,479,087,056.25/67,056
  6. Step 6: Final answer
    x = 290,489.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.