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Finding the Third Proportional to 86,582 and 130,446

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Solution

The third proportional to 86,582 and 130,446 is: 196,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582 : 130,446 = 130,446 : x
  2. Step 2: Convert to fraction form
    86,582/130,446 = 130,446/x
  3. Step 3: Cross multiply
    86,582x = 130,446 × 130,446
  4. Step 4: Simplify right side
    86,582x = 17,016,158,916
  5. Step 5: Solve for x
    x = 17,016,158,916/86,582
  6. Step 6: Final answer
    x = 196,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.