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Finding the Third Proportional to 58,023 and 136,269

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Solution

The third proportional to 58,023 and 136,269 is: 320,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,023 : 136,269 = 136,269 : x
  2. Step 2: Convert to fraction form
    58,023/136,269 = 136,269/x
  3. Step 3: Cross multiply
    58,023x = 136,269 × 136,269
  4. Step 4: Simplify right side
    58,023x = 18,569,240,361
  5. Step 5: Solve for x
    x = 18,569,240,361/58,023
  6. Step 6: Final answer
    x = 320,032.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.