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Finding the Third Proportional to 85,284 and 134,946

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Solution

The third proportional to 85,284 and 134,946 is: 213,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,284 : 134,946 = 134,946 : x
  2. Step 2: Convert to fraction form
    85,284/134,946 = 134,946/x
  3. Step 3: Cross multiply
    85,284x = 134,946 × 134,946
  4. Step 4: Simplify right side
    85,284x = 18,210,422,916
  5. Step 5: Solve for x
    x = 18,210,422,916/85,284
  6. Step 6: Final answer
    x = 213,526.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.