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Finding the Third Proportional to 86,007 and 130,308

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Solution

The third proportional to 86,007 and 130,308 is: 197,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,007 : 130,308 = 130,308 : x
  2. Step 2: Convert to fraction form
    86,007/130,308 = 130,308/x
  3. Step 3: Cross multiply
    86,007x = 130,308 × 130,308
  4. Step 4: Simplify right side
    86,007x = 16,980,174,864
  5. Step 5: Solve for x
    x = 16,980,174,864/86,007
  6. Step 6: Final answer
    x = 197,427.82

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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.