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Finding the Third Proportional to 58,310 and 128,419

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Solution

The third proportional to 58,310 and 128,419 is: 282,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,310 : 128,419 = 128,419 : x
  2. Step 2: Convert to fraction form
    58,310/128,419 = 128,419/x
  3. Step 3: Cross multiply
    58,310x = 128,419 × 128,419
  4. Step 4: Simplify right side
    58,310x = 16,491,439,561
  5. Step 5: Solve for x
    x = 16,491,439,561/58,310
  6. Step 6: Final answer
    x = 282,823.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.