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Finding the Third Proportional to 86,223 and 134,574

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Solution

The third proportional to 86,223 and 134,574 is: 210,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,223 : 134,574 = 134,574 : x
  2. Step 2: Convert to fraction form
    86,223/134,574 = 134,574/x
  3. Step 3: Cross multiply
    86,223x = 134,574 × 134,574
  4. Step 4: Simplify right side
    86,223x = 18,110,161,476
  5. Step 5: Solve for x
    x = 18,110,161,476/86,223
  6. Step 6: Final answer
    x = 210,038.64

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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.