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Finding the Third Proportional to 68,160 and 139,720

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Solution

The third proportional to 68,160 and 139,720 is: 286,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,160 : 139,720 = 139,720 : x
  2. Step 2: Convert to fraction form
    68,160/139,720 = 139,720/x
  3. Step 3: Cross multiply
    68,160x = 139,720 × 139,720
  4. Step 4: Simplify right side
    68,160x = 19,521,678,400
  5. Step 5: Solve for x
    x = 19,521,678,400/68,160
  6. Step 6: Final answer
    x = 286,409.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.