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Finding the Third Proportional to 127,210.50 and 276,534

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Solution

The third proportional to 127,210.50 and 276,534 is: 601,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,210.50 : 276,534 = 276,534 : x
  2. Step 2: Convert to fraction form
    127,210.50/276,534 = 276,534/x
  3. Step 3: Cross multiply
    127,210.50x = 276,534 × 276,534
  4. Step 4: Simplify right side
    127,210.50x = 76,471,053,156
  5. Step 5: Solve for x
    x = 76,471,053,156/127,210.50
  6. Step 6: Final answer
    x = 601,137.90

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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.