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Finding the Third Proportional to 77,814 and 121,581

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Solution

The third proportional to 77,814 and 121,581 is: 189,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,814 : 121,581 = 121,581 : x
  2. Step 2: Convert to fraction form
    77,814/121,581 = 121,581/x
  3. Step 3: Cross multiply
    77,814x = 121,581 × 121,581
  4. Step 4: Simplify right side
    77,814x = 14,781,939,561
  5. Step 5: Solve for x
    x = 14,781,939,561/77,814
  6. Step 6: Final answer
    x = 189,965.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.