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Finding the Third Proportional to 57,412.50 and 123,130.50

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Solution

The third proportional to 57,412.50 and 123,130.50 is: 264,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.50 : 123,130.50 = 123,130.50 : x
  2. Step 2: Convert to fraction form
    57,412.50/123,130.50 = 123,130.50/x
  3. Step 3: Cross multiply
    57,412.50x = 123,130.50 × 123,130.50
  4. Step 4: Simplify right side
    57,412.50x = 15,161,120,030.25
  5. Step 5: Solve for x
    x = 15,161,120,030.25/57,412.50
  6. Step 6: Final answer
    x = 264,073.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.