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Finding the Third Proportional to 52,965 and 125,050.50

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Solution

The third proportional to 52,965 and 125,050.50 is: 295,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,965 : 125,050.50 = 125,050.50 : x
  2. Step 2: Convert to fraction form
    52,965/125,050.50 = 125,050.50/x
  3. Step 3: Cross multiply
    52,965x = 125,050.50 × 125,050.50
  4. Step 4: Simplify right side
    52,965x = 15,637,627,550.25
  5. Step 5: Solve for x
    x = 15,637,627,550.25/52,965
  6. Step 6: Final answer
    x = 295,244.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.