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Finding the Third Proportional to 56,426 and 122,574

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Solution

The third proportional to 56,426 and 122,574 is: 266,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,426 : 122,574 = 122,574 : x
  2. Step 2: Convert to fraction form
    56,426/122,574 = 122,574/x
  3. Step 3: Cross multiply
    56,426x = 122,574 × 122,574
  4. Step 4: Simplify right side
    56,426x = 15,024,385,476
  5. Step 5: Solve for x
    x = 15,024,385,476/56,426
  6. Step 6: Final answer
    x = 266,267.07

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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.