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Finding the Third Proportional to 127,710 and 277,526

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Solution

The third proportional to 127,710 and 277,526 is: 603,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710 : 277,526 = 277,526 : x
  2. Step 2: Convert to fraction form
    127,710/277,526 = 277,526/x
  3. Step 3: Cross multiply
    127,710x = 277,526 × 277,526
  4. Step 4: Simplify right side
    127,710x = 77,020,680,676
  5. Step 5: Solve for x
    x = 77,020,680,676/127,710
  6. Step 6: Final answer
    x = 603,090.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.