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Finding the Third Proportional to 85,323.38 and 114,862.22

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Solution

The third proportional to 85,323.38 and 114,862.22 is: 154,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,323.38 : 114,862.22 = 114,862.22 : x
  2. Step 2: Convert to fraction form
    85,323.38/114,862.22 = 114,862.22/x
  3. Step 3: Cross multiply
    85,323.38x = 114,862.22 × 114,862.22
  4. Step 4: Simplify right side
    85,323.38x = 13,193,329,296.17
  5. Step 5: Solve for x
    x = 13,193,329,296.17/85,323.38
  6. Step 6: Final answer
    x = 154,627.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.