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Finding the Third Proportional to 86,024 and 130,330

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Solution

The third proportional to 86,024 and 130,330 is: 197,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,024 : 130,330 = 130,330 : x
  2. Step 2: Convert to fraction form
    86,024/130,330 = 130,330/x
  3. Step 3: Cross multiply
    86,024x = 130,330 × 130,330
  4. Step 4: Simplify right side
    86,024x = 16,985,908,900
  5. Step 5: Solve for x
    x = 16,985,908,900/86,024
  6. Step 6: Final answer
    x = 197,455.46

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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.