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Finding the Third Proportional to 78,278 and 117,777

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Solution

The third proportional to 78,278 and 117,777 is: 177,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,278 : 117,777 = 117,777 : x
  2. Step 2: Convert to fraction form
    78,278/117,777 = 117,777/x
  3. Step 3: Cross multiply
    78,278x = 117,777 × 117,777
  4. Step 4: Simplify right side
    78,278x = 13,871,421,729
  5. Step 5: Solve for x
    x = 13,871,421,729/78,278
  6. Step 6: Final answer
    x = 177,207.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.