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Finding the Third Proportional to 87,297.75 and 130,916.25

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Solution

The third proportional to 87,297.75 and 130,916.25 is: 196,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297.75 : 130,916.25 = 130,916.25 : x
  2. Step 2: Convert to fraction form
    87,297.75/130,916.25 = 130,916.25/x
  3. Step 3: Cross multiply
    87,297.75x = 130,916.25 × 130,916.25
  4. Step 4: Simplify right side
    87,297.75x = 17,139,064,514.06
  5. Step 5: Solve for x
    x = 17,139,064,514.06/87,297.75
  6. Step 6: Final answer
    x = 196,328.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.