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Finding the Third Proportional to 127,510 and 196,750

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Solution

The third proportional to 127,510 and 196,750 is: 303,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,510 : 196,750 = 196,750 : x
  2. Step 2: Convert to fraction form
    127,510/196,750 = 196,750/x
  3. Step 3: Cross multiply
    127,510x = 196,750 × 196,750
  4. Step 4: Simplify right side
    127,510x = 38,710,562,500
  5. Step 5: Solve for x
    x = 38,710,562,500/127,510
  6. Step 6: Final answer
    x = 303,588.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.