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Finding the Third Proportional to 86,370 and 130,881

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Solution

The third proportional to 86,370 and 130,881 is: 198,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,370 : 130,881 = 130,881 : x
  2. Step 2: Convert to fraction form
    86,370/130,881 = 130,881/x
  3. Step 3: Cross multiply
    86,370x = 130,881 × 130,881
  4. Step 4: Simplify right side
    86,370x = 17,129,836,161
  5. Step 5: Solve for x
    x = 17,129,836,161/86,370
  6. Step 6: Final answer
    x = 198,330.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.