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Finding the Third Proportional to 52,572 and 80,392.50

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Solution

The third proportional to 52,572 and 80,392.50 is: 122,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572 : 80,392.50 = 80,392.50 : x
  2. Step 2: Convert to fraction form
    52,572/80,392.50 = 80,392.50/x
  3. Step 3: Cross multiply
    52,572x = 80,392.50 × 80,392.50
  4. Step 4: Simplify right side
    52,572x = 6,462,954,056.25
  5. Step 5: Solve for x
    x = 6,462,954,056.25/52,572
  6. Step 6: Final answer
    x = 122,935.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.