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Finding the Third Proportional to 58,840 and 127,564

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Solution

The third proportional to 58,840 and 127,564 is: 276,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,840 : 127,564 = 127,564 : x
  2. Step 2: Convert to fraction form
    58,840/127,564 = 127,564/x
  3. Step 3: Cross multiply
    58,840x = 127,564 × 127,564
  4. Step 4: Simplify right side
    58,840x = 16,272,574,096
  5. Step 5: Solve for x
    x = 16,272,574,096/58,840
  6. Step 6: Final answer
    x = 276,556.32

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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.