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Finding the Third Proportional to 56,745 and 83,548.50

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Solution

The third proportional to 56,745 and 83,548.50 is: 123,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,745 : 83,548.50 = 83,548.50 : x
  2. Step 2: Convert to fraction form
    56,745/83,548.50 = 83,548.50/x
  3. Step 3: Cross multiply
    56,745x = 83,548.50 × 83,548.50
  4. Step 4: Simplify right side
    56,745x = 6,980,351,852.25
  5. Step 5: Solve for x
    x = 6,980,351,852.25/56,745
  6. Step 6: Final answer
    x = 123,012.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.