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Finding the Third Proportional to 86,258 and 130,843

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Solution

The third proportional to 86,258 and 130,843 is: 198,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,258 : 130,843 = 130,843 : x
  2. Step 2: Convert to fraction form
    86,258/130,843 = 130,843/x
  3. Step 3: Cross multiply
    86,258x = 130,843 × 130,843
  4. Step 4: Simplify right side
    86,258x = 17,119,890,649
  5. Step 5: Solve for x
    x = 17,119,890,649/86,258
  6. Step 6: Final answer
    x = 198,473.08

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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.