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Finding the Third Proportional to 86,968 and 130,646

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Solution

The third proportional to 86,968 and 130,646 is: 196,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,968 : 130,646 = 130,646 : x
  2. Step 2: Convert to fraction form
    86,968/130,646 = 130,646/x
  3. Step 3: Cross multiply
    86,968x = 130,646 × 130,646
  4. Step 4: Simplify right side
    86,968x = 17,068,377,316
  5. Step 5: Solve for x
    x = 17,068,377,316/86,968
  6. Step 6: Final answer
    x = 196,260.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.