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Finding the Third Proportional to 52,874 and 72,507

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Solution

The third proportional to 52,874 and 72,507 is: 99,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874 : 72,507 = 72,507 : x
  2. Step 2: Convert to fraction form
    52,874/72,507 = 72,507/x
  3. Step 3: Cross multiply
    52,874x = 72,507 × 72,507
  4. Step 4: Simplify right side
    52,874x = 5,257,265,049
  5. Step 5: Solve for x
    x = 5,257,265,049/52,874
  6. Step 6: Final answer
    x = 99,430.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.