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Finding the Third Proportional to 52,528.83 and 78,607.62

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Solution

The third proportional to 52,528.83 and 78,607.62 is: 117,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,528.83 : 78,607.62 = 78,607.62 : x
  2. Step 2: Convert to fraction form
    52,528.83/78,607.62 = 78,607.62/x
  3. Step 3: Cross multiply
    52,528.83x = 78,607.62 × 78,607.62
  4. Step 4: Simplify right side
    52,528.83x = 6,179,157,479.90
  5. Step 5: Solve for x
    x = 6,179,157,479.90/52,528.83
  6. Step 6: Final answer
    x = 117,633.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.