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Finding the Third Proportional to 52,152 and 121,800

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Solution

The third proportional to 52,152 and 121,800 is: 284,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152 : 121,800 = 121,800 : x
  2. Step 2: Convert to fraction form
    52,152/121,800 = 121,800/x
  3. Step 3: Cross multiply
    52,152x = 121,800 × 121,800
  4. Step 4: Simplify right side
    52,152x = 14,835,240,000
  5. Step 5: Solve for x
    x = 14,835,240,000/52,152
  6. Step 6: Final answer
    x = 284,461.57

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.