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Finding the Third Proportional to 30,108 and 70,332

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Solution

The third proportional to 30,108 and 70,332 is: 164,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,108 : 70,332 = 70,332 : x
  2. Step 2: Convert to fraction form
    30,108/70,332 = 70,332/x
  3. Step 3: Cross multiply
    30,108x = 70,332 × 70,332
  4. Step 4: Simplify right side
    30,108x = 4,946,590,224
  5. Step 5: Solve for x
    x = 4,946,590,224/30,108
  6. Step 6: Final answer
    x = 164,294.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.