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Finding the Third Proportional to 58,280 and 125,056

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Solution

The third proportional to 58,280 and 125,056 is: 268,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,280 : 125,056 = 125,056 : x
  2. Step 2: Convert to fraction form
    58,280/125,056 = 125,056/x
  3. Step 3: Cross multiply
    58,280x = 125,056 × 125,056
  4. Step 4: Simplify right side
    58,280x = 15,639,003,136
  5. Step 5: Solve for x
    x = 15,639,003,136/58,280
  6. Step 6: Final answer
    x = 268,342.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.