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Finding the Third Proportional to 52,994 and 74,276

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Solution

The third proportional to 52,994 and 74,276 is: 104,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,994 : 74,276 = 74,276 : x
  2. Step 2: Convert to fraction form
    52,994/74,276 = 74,276/x
  3. Step 3: Cross multiply
    52,994x = 74,276 × 74,276
  4. Step 4: Simplify right side
    52,994x = 5,516,924,176
  5. Step 5: Solve for x
    x = 5,516,924,176/52,994
  6. Step 6: Final answer
    x = 104,104.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.