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Finding the Third Proportional to 59,089 and 127,454

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Solution

The third proportional to 59,089 and 127,454 is: 274,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,089 : 127,454 = 127,454 : x
  2. Step 2: Convert to fraction form
    59,089/127,454 = 127,454/x
  3. Step 3: Cross multiply
    59,089x = 127,454 × 127,454
  4. Step 4: Simplify right side
    59,089x = 16,244,522,116
  5. Step 5: Solve for x
    x = 16,244,522,116/59,089
  6. Step 6: Final answer
    x = 274,916.18

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Why These Related Problems?

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