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Finding the Third Proportional to 52,030 and 96,674

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Solution

The third proportional to 52,030 and 96,674 is: 179,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030 : 96,674 = 96,674 : x
  2. Step 2: Convert to fraction form
    52,030/96,674 = 96,674/x
  3. Step 3: Cross multiply
    52,030x = 96,674 × 96,674
  4. Step 4: Simplify right side
    52,030x = 9,345,862,276
  5. Step 5: Solve for x
    x = 9,345,862,276/52,030
  6. Step 6: Final answer
    x = 179,624.49

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.