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Finding the Third Proportional to 86,210 and 133,155

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Solution

The third proportional to 86,210 and 133,155 is: 205,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,210 : 133,155 = 133,155 : x
  2. Step 2: Convert to fraction form
    86,210/133,155 = 133,155/x
  3. Step 3: Cross multiply
    86,210x = 133,155 × 133,155
  4. Step 4: Simplify right side
    86,210x = 17,730,254,025
  5. Step 5: Solve for x
    x = 17,730,254,025/86,210
  6. Step 6: Final answer
    x = 205,663.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.