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Finding the Third Proportional to 59,082 and 127,440

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Solution

The third proportional to 59,082 and 127,440 is: 274,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,082 : 127,440 = 127,440 : x
  2. Step 2: Convert to fraction form
    59,082/127,440 = 127,440/x
  3. Step 3: Cross multiply
    59,082x = 127,440 × 127,440
  4. Step 4: Simplify right side
    59,082x = 16,240,953,600
  5. Step 5: Solve for x
    x = 16,240,953,600/59,082
  6. Step 6: Final answer
    x = 274,888.35

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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.