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Finding the Third Proportional to 53,532.75 and 72,108.75

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Solution

The third proportional to 53,532.75 and 72,108.75 is: 97,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,532.75 : 72,108.75 = 72,108.75 : x
  2. Step 2: Convert to fraction form
    53,532.75/72,108.75 = 72,108.75/x
  3. Step 3: Cross multiply
    53,532.75x = 72,108.75 × 72,108.75
  4. Step 4: Simplify right side
    53,532.75x = 5,199,671,826.56
  5. Step 5: Solve for x
    x = 5,199,671,826.56/53,532.75
  6. Step 6: Final answer
    x = 97,130.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.