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Finding the Third Proportional to 28,262 and 59,368

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Solution

The third proportional to 28,262 and 59,368 is: 124,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,262 : 59,368 = 59,368 : x
  2. Step 2: Convert to fraction form
    28,262/59,368 = 59,368/x
  3. Step 3: Cross multiply
    28,262x = 59,368 × 59,368
  4. Step 4: Simplify right side
    28,262x = 3,524,559,424
  5. Step 5: Solve for x
    x = 3,524,559,424/28,262
  6. Step 6: Final answer
    x = 124,710.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.