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Finding the Third Proportional to 120,767 and 177,457

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Solution

The third proportional to 120,767 and 177,457 is: 260,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,767 : 177,457 = 177,457 : x
  2. Step 2: Convert to fraction form
    120,767/177,457 = 177,457/x
  3. Step 3: Cross multiply
    120,767x = 177,457 × 177,457
  4. Step 4: Simplify right side
    120,767x = 31,490,986,849
  5. Step 5: Solve for x
    x = 31,490,986,849/120,767
  6. Step 6: Final answer
    x = 260,758.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.