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Finding the Third Proportional to 58,582 and 127,765

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Solution

The third proportional to 58,582 and 127,765 is: 278,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,582 : 127,765 = 127,765 : x
  2. Step 2: Convert to fraction form
    58,582/127,765 = 127,765/x
  3. Step 3: Cross multiply
    58,582x = 127,765 × 127,765
  4. Step 4: Simplify right side
    58,582x = 16,323,895,225
  5. Step 5: Solve for x
    x = 16,323,895,225/58,582
  6. Step 6: Final answer
    x = 278,650.36

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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.