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Finding the Third Proportional to 127,510.50 and 196,752

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Solution

The third proportional to 127,510.50 and 196,752 is: 303,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,510.50 : 196,752 = 196,752 : x
  2. Step 2: Convert to fraction form
    127,510.50/196,752 = 196,752/x
  3. Step 3: Cross multiply
    127,510.50x = 196,752 × 196,752
  4. Step 4: Simplify right side
    127,510.50x = 38,711,349,504
  5. Step 5: Solve for x
    x = 38,711,349,504/127,510.50
  6. Step 6: Final answer
    x = 303,593.43

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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.