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Finding the Third Proportional to 86,250 and 130,834

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Solution

The third proportional to 86,250 and 130,834 is: 198,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,250 : 130,834 = 130,834 : x
  2. Step 2: Convert to fraction form
    86,250/130,834 = 130,834/x
  3. Step 3: Cross multiply
    86,250x = 130,834 × 130,834
  4. Step 4: Simplify right side
    86,250x = 17,117,535,556
  5. Step 5: Solve for x
    x = 17,117,535,556/86,250
  6. Step 6: Final answer
    x = 198,464.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.