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Finding the Third Proportional to 56,197 and 121,106

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Solution

The third proportional to 56,197 and 121,106 is: 260,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,197 : 121,106 = 121,106 : x
  2. Step 2: Convert to fraction form
    56,197/121,106 = 121,106/x
  3. Step 3: Cross multiply
    56,197x = 121,106 × 121,106
  4. Step 4: Simplify right side
    56,197x = 14,666,663,236
  5. Step 5: Solve for x
    x = 14,666,663,236/56,197
  6. Step 6: Final answer
    x = 260,986.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.