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Finding the Third Proportional to 86,204 and 134,547

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Solution

The third proportional to 86,204 and 134,547 is: 210,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,204 : 134,547 = 134,547 : x
  2. Step 2: Convert to fraction form
    86,204/134,547 = 134,547/x
  3. Step 3: Cross multiply
    86,204x = 134,547 × 134,547
  4. Step 4: Simplify right side
    86,204x = 18,102,895,209
  5. Step 5: Solve for x
    x = 18,102,895,209/86,204
  6. Step 6: Final answer
    x = 210,000.64

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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.