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Finding the Third Proportional to 58,996 and 128,360

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Solution

The third proportional to 58,996 and 128,360 is: 279,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,996 : 128,360 = 128,360 : x
  2. Step 2: Convert to fraction form
    58,996/128,360 = 128,360/x
  3. Step 3: Cross multiply
    58,996x = 128,360 × 128,360
  4. Step 4: Simplify right side
    58,996x = 16,476,289,600
  5. Step 5: Solve for x
    x = 16,476,289,600/58,996
  6. Step 6: Final answer
    x = 279,278.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.