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Finding the Third Proportional to 58,624 and 128,282

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Solution

The third proportional to 58,624 and 128,282 is: 280,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,624 : 128,282 = 128,282 : x
  2. Step 2: Convert to fraction form
    58,624/128,282 = 128,282/x
  3. Step 3: Cross multiply
    58,624x = 128,282 × 128,282
  4. Step 4: Simplify right side
    58,624x = 16,456,271,524
  5. Step 5: Solve for x
    x = 16,456,271,524/58,624
  6. Step 6: Final answer
    x = 280,708.78

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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.