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Finding the Third Proportional to 58,564 and 127,729

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Solution

The third proportional to 58,564 and 127,729 is: 278,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,564 : 127,729 = 127,729 : x
  2. Step 2: Convert to fraction form
    58,564/127,729 = 127,729/x
  3. Step 3: Cross multiply
    58,564x = 127,729 × 127,729
  4. Step 4: Simplify right side
    58,564x = 16,314,697,441
  5. Step 5: Solve for x
    x = 16,314,697,441/58,564
  6. Step 6: Final answer
    x = 278,578.95

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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.