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Finding the Third Proportional to 78,018 and 168,492

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Solution

The third proportional to 78,018 and 168,492 is: 363,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,018 : 168,492 = 168,492 : x
  2. Step 2: Convert to fraction form
    78,018/168,492 = 168,492/x
  3. Step 3: Cross multiply
    78,018x = 168,492 × 168,492
  4. Step 4: Simplify right side
    78,018x = 28,389,554,064
  5. Step 5: Solve for x
    x = 28,389,554,064/78,018
  6. Step 6: Final answer
    x = 363,884.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.