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Finding the Third Proportional to 86,470 and 133,541

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Solution

The third proportional to 86,470 and 133,541 is: 206,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470 : 133,541 = 133,541 : x
  2. Step 2: Convert to fraction form
    86,470/133,541 = 133,541/x
  3. Step 3: Cross multiply
    86,470x = 133,541 × 133,541
  4. Step 4: Simplify right side
    86,470x = 17,833,198,681
  5. Step 5: Solve for x
    x = 17,833,198,681/86,470
  6. Step 6: Final answer
    x = 206,235.67

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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.