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Finding the Third Proportional to 86,534 and 126,516

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Solution

The third proportional to 86,534 and 126,516 is: 184,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,534 : 126,516 = 126,516 : x
  2. Step 2: Convert to fraction form
    86,534/126,516 = 126,516/x
  3. Step 3: Cross multiply
    86,534x = 126,516 × 126,516
  4. Step 4: Simplify right side
    86,534x = 16,006,298,256
  5. Step 5: Solve for x
    x = 16,006,298,256/86,534
  6. Step 6: Final answer
    x = 184,971.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.