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Finding the Third Proportional to 113,602 and 175,719

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Solution

The third proportional to 113,602 and 175,719 is: 271,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,602 : 175,719 = 175,719 : x
  2. Step 2: Convert to fraction form
    113,602/175,719 = 175,719/x
  3. Step 3: Cross multiply
    113,602x = 175,719 × 175,719
  4. Step 4: Simplify right side
    113,602x = 30,877,166,961
  5. Step 5: Solve for x
    x = 30,877,166,961/113,602
  6. Step 6: Final answer
    x = 271,801.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.