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Finding the Third Proportional to 52,743 and 70,455

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Solution

The third proportional to 52,743 and 70,455 is: 94,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,743 : 70,455 = 70,455 : x
  2. Step 2: Convert to fraction form
    52,743/70,455 = 70,455/x
  3. Step 3: Cross multiply
    52,743x = 70,455 × 70,455
  4. Step 4: Simplify right side
    52,743x = 4,963,907,025
  5. Step 5: Solve for x
    x = 4,963,907,025/52,743
  6. Step 6: Final answer
    x = 94,114.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.