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Finding the Third Proportional to 66,918 and 139,385

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Solution

The third proportional to 66,918 and 139,385 is: 290,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,918 : 139,385 = 139,385 : x
  2. Step 2: Convert to fraction form
    66,918/139,385 = 139,385/x
  3. Step 3: Cross multiply
    66,918x = 139,385 × 139,385
  4. Step 4: Simplify right side
    66,918x = 19,428,178,225
  5. Step 5: Solve for x
    x = 19,428,178,225/66,918
  6. Step 6: Final answer
    x = 290,328.14

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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.