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Finding the Third Proportional to 35,160.75 and 74,403

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Solution

The third proportional to 35,160.75 and 74,403 is: 157,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,160.75 : 74,403 = 74,403 : x
  2. Step 2: Convert to fraction form
    35,160.75/74,403 = 74,403/x
  3. Step 3: Cross multiply
    35,160.75x = 74,403 × 74,403
  4. Step 4: Simplify right side
    35,160.75x = 5,535,806,409
  5. Step 5: Solve for x
    x = 5,535,806,409/35,160.75
  6. Step 6: Final answer
    x = 157,442.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.