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Finding the Third Proportional to 58,140 and 125,912

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Solution

The third proportional to 58,140 and 125,912 is: 272,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,140 : 125,912 = 125,912 : x
  2. Step 2: Convert to fraction form
    58,140/125,912 = 125,912/x
  3. Step 3: Cross multiply
    58,140x = 125,912 × 125,912
  4. Step 4: Simplify right side
    58,140x = 15,853,831,744
  5. Step 5: Solve for x
    x = 15,853,831,744/58,140
  6. Step 6: Final answer
    x = 272,683.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.