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Finding the Third Proportional to 85,824 and 134,154

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Solution

The third proportional to 85,824 and 134,154 is: 209,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824 : 134,154 = 134,154 : x
  2. Step 2: Convert to fraction form
    85,824/134,154 = 134,154/x
  3. Step 3: Cross multiply
    85,824x = 134,154 × 134,154
  4. Step 4: Simplify right side
    85,824x = 17,997,295,716
  5. Step 5: Solve for x
    x = 17,997,295,716/85,824
  6. Step 6: Final answer
    x = 209,700.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.