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Finding the Third Proportional to 58,566 and 128,284

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Solution

The third proportional to 58,566 and 128,284 is: 280,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,566 : 128,284 = 128,284 : x
  2. Step 2: Convert to fraction form
    58,566/128,284 = 128,284/x
  3. Step 3: Cross multiply
    58,566x = 128,284 × 128,284
  4. Step 4: Simplify right side
    58,566x = 16,456,784,656
  5. Step 5: Solve for x
    x = 16,456,784,656/58,566
  6. Step 6: Final answer
    x = 280,995.54

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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.