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Finding the Third Proportional to 57,412.55 and 84,114.07

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Solution

The third proportional to 57,412.55 and 84,114.07 is: 123,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.55 : 84,114.07 = 84,114.07 : x
  2. Step 2: Convert to fraction form
    57,412.55/84,114.07 = 84,114.07/x
  3. Step 3: Cross multiply
    57,412.55x = 84,114.07 × 84,114.07
  4. Step 4: Simplify right side
    57,412.55x = 7,075,176,824.54
  5. Step 5: Solve for x
    x = 7,075,176,824.54/57,412.55
  6. Step 6: Final answer
    x = 123,233.98

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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.