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Finding the Third Proportional to 58,143 and 125,583

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Solution

The third proportional to 58,143 and 125,583 is: 271,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,143 : 125,583 = 125,583 : x
  2. Step 2: Convert to fraction form
    58,143/125,583 = 125,583/x
  3. Step 3: Cross multiply
    58,143x = 125,583 × 125,583
  4. Step 4: Simplify right side
    58,143x = 15,771,089,889
  5. Step 5: Solve for x
    x = 15,771,089,889/58,143
  6. Step 6: Final answer
    x = 271,246.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.