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Finding the Third Proportional to 67,051 and 139,664

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Solution

The third proportional to 67,051 and 139,664 is: 290,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,051 : 139,664 = 139,664 : x
  2. Step 2: Convert to fraction form
    67,051/139,664 = 139,664/x
  3. Step 3: Cross multiply
    67,051x = 139,664 × 139,664
  4. Step 4: Simplify right side
    67,051x = 19,506,032,896
  5. Step 5: Solve for x
    x = 19,506,032,896/67,051
  6. Step 6: Final answer
    x = 290,913.38

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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.