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Finding the Third Proportional to 56,470.50 and 75,283.50

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Solution

The third proportional to 56,470.50 and 75,283.50 is: 100,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,470.50 : 75,283.50 = 75,283.50 : x
  2. Step 2: Convert to fraction form
    56,470.50/75,283.50 = 75,283.50/x
  3. Step 3: Cross multiply
    56,470.50x = 75,283.50 × 75,283.50
  4. Step 4: Simplify right side
    56,470.50x = 5,667,605,372.25
  5. Step 5: Solve for x
    x = 5,667,605,372.25/56,470.50
  6. Step 6: Final answer
    x = 100,364.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.