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Finding the Third Proportional to 53,756.16 and 75,204.70

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Solution

The third proportional to 53,756.16 and 75,204.70 is: 105,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,756.16 : 75,204.70 = 75,204.70 : x
  2. Step 2: Convert to fraction form
    53,756.16/75,204.70 = 75,204.70/x
  3. Step 3: Cross multiply
    53,756.16x = 75,204.70 × 75,204.70
  4. Step 4: Simplify right side
    53,756.16x = 5,655,747,372.12
  5. Step 5: Solve for x
    x = 5,655,747,372.12/53,756.16
  6. Step 6: Final answer
    x = 105,211.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.