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Finding the Third Proportional to 110,664 and 237,106

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Solution

The third proportional to 110,664 and 237,106 is: 508,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,664 : 237,106 = 237,106 : x
  2. Step 2: Convert to fraction form
    110,664/237,106 = 237,106/x
  3. Step 3: Cross multiply
    110,664x = 237,106 × 237,106
  4. Step 4: Simplify right side
    110,664x = 56,219,255,236
  5. Step 5: Solve for x
    x = 56,219,255,236/110,664
  6. Step 6: Final answer
    x = 508,017.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.