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Finding the Third Proportional to 57,145.50 and 83,551.50

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Solution

The third proportional to 57,145.50 and 83,551.50 is: 122,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.50 : 83,551.50 = 83,551.50 : x
  2. Step 2: Convert to fraction form
    57,145.50/83,551.50 = 83,551.50/x
  3. Step 3: Cross multiply
    57,145.50x = 83,551.50 × 83,551.50
  4. Step 4: Simplify right side
    57,145.50x = 6,980,853,152.25
  5. Step 5: Solve for x
    x = 6,980,853,152.25/57,145.50
  6. Step 6: Final answer
    x = 122,159.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.