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Finding the Third Proportional to 59,564 and 127,765

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Solution

The third proportional to 59,564 and 127,765 is: 274,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,564 : 127,765 = 127,765 : x
  2. Step 2: Convert to fraction form
    59,564/127,765 = 127,765/x
  3. Step 3: Cross multiply
    59,564x = 127,765 × 127,765
  4. Step 4: Simplify right side
    59,564x = 16,323,895,225
  5. Step 5: Solve for x
    x = 16,323,895,225/59,564
  6. Step 6: Final answer
    x = 274,056.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.