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Finding the Third Proportional to 85,824 and 114,588

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Solution

The third proportional to 85,824 and 114,588 is: 152,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824 : 114,588 = 114,588 : x
  2. Step 2: Convert to fraction form
    85,824/114,588 = 114,588/x
  3. Step 3: Cross multiply
    85,824x = 114,588 × 114,588
  4. Step 4: Simplify right side
    85,824x = 13,130,409,744
  5. Step 5: Solve for x
    x = 13,130,409,744/85,824
  6. Step 6: Final answer
    x = 152,992.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.