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Finding the Third Proportional to 53,955.50 and 84,640

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Solution

The third proportional to 53,955.50 and 84,640 is: 132,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,955.50 : 84,640 = 84,640 : x
  2. Step 2: Convert to fraction form
    53,955.50/84,640 = 84,640/x
  3. Step 3: Cross multiply
    53,955.50x = 84,640 × 84,640
  4. Step 4: Simplify right side
    53,955.50x = 7,163,929,600
  5. Step 5: Solve for x
    x = 7,163,929,600/53,955.50
  6. Step 6: Final answer
    x = 132,774.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.