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Finding the Third Proportional to 52,533.75 and 78,854.63

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Solution

The third proportional to 52,533.75 and 78,854.63 is: 118,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533.75 : 78,854.63 = 78,854.63 : x
  2. Step 2: Convert to fraction form
    52,533.75/78,854.63 = 78,854.63/x
  3. Step 3: Cross multiply
    52,533.75x = 78,854.63 × 78,854.63
  4. Step 4: Simplify right side
    52,533.75x = 6,218,051,883.89
  5. Step 5: Solve for x
    x = 6,218,051,883.89/52,533.75
  6. Step 6: Final answer
    x = 118,362.99

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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.