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Finding the Third Proportional to 52,254 and 74,695

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Solution

The third proportional to 52,254 and 74,695 is: 106,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,254 : 74,695 = 74,695 : x
  2. Step 2: Convert to fraction form
    52,254/74,695 = 74,695/x
  3. Step 3: Cross multiply
    52,254x = 74,695 × 74,695
  4. Step 4: Simplify right side
    52,254x = 5,579,343,025
  5. Step 5: Solve for x
    x = 5,579,343,025/52,254
  6. Step 6: Final answer
    x = 106,773.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.