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Finding the Third Proportional to 117,124 and 257,572

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Solution

The third proportional to 117,124 and 257,572 is: 566,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,124 : 257,572 = 257,572 : x
  2. Step 2: Convert to fraction form
    117,124/257,572 = 257,572/x
  3. Step 3: Cross multiply
    117,124x = 257,572 × 257,572
  4. Step 4: Simplify right side
    117,124x = 66,343,335,184
  5. Step 5: Solve for x
    x = 66,343,335,184/117,124
  6. Step 6: Final answer
    x = 566,436.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.