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Finding the Third Proportional to 86,034 and 130,347

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Solution

The third proportional to 86,034 and 130,347 is: 197,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,034 : 130,347 = 130,347 : x
  2. Step 2: Convert to fraction form
    86,034/130,347 = 130,347/x
  3. Step 3: Cross multiply
    86,034x = 130,347 × 130,347
  4. Step 4: Simplify right side
    86,034x = 16,990,340,409
  5. Step 5: Solve for x
    x = 16,990,340,409/86,034
  6. Step 6: Final answer
    x = 197,484.02

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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.