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Finding the Third Proportional to 57,062.25 and 89,047.50

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Solution

The third proportional to 57,062.25 and 89,047.50 is: 138,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,062.25 : 89,047.50 = 89,047.50 : x
  2. Step 2: Convert to fraction form
    57,062.25/89,047.50 = 89,047.50/x
  3. Step 3: Cross multiply
    57,062.25x = 89,047.50 × 89,047.50
  4. Step 4: Simplify right side
    57,062.25x = 7,929,457,256.25
  5. Step 5: Solve for x
    x = 7,929,457,256.25/57,062.25
  6. Step 6: Final answer
    x = 138,961.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.