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Finding the Third Proportional to 59,056 and 127,388

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Solution

The third proportional to 59,056 and 127,388 is: 274,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,056 : 127,388 = 127,388 : x
  2. Step 2: Convert to fraction form
    59,056/127,388 = 127,388/x
  3. Step 3: Cross multiply
    59,056x = 127,388 × 127,388
  4. Step 4: Simplify right side
    59,056x = 16,227,702,544
  5. Step 5: Solve for x
    x = 16,227,702,544/59,056
  6. Step 6: Final answer
    x = 274,784.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.