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Finding the Third Proportional to 58,560 and 128,272

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Solution

The third proportional to 58,560 and 128,272 is: 280,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,560 : 128,272 = 128,272 : x
  2. Step 2: Convert to fraction form
    58,560/128,272 = 128,272/x
  3. Step 3: Cross multiply
    58,560x = 128,272 × 128,272
  4. Step 4: Simplify right side
    58,560x = 16,453,705,984
  5. Step 5: Solve for x
    x = 16,453,705,984/58,560
  6. Step 6: Final answer
    x = 280,971.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.