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Finding the Third Proportional to 122,810 and 183,457

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Solution

The third proportional to 122,810 and 183,457 is: 274,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,810 : 183,457 = 183,457 : x
  2. Step 2: Convert to fraction form
    122,810/183,457 = 183,457/x
  3. Step 3: Cross multiply
    122,810x = 183,457 × 183,457
  4. Step 4: Simplify right side
    122,810x = 33,656,470,849
  5. Step 5: Solve for x
    x = 33,656,470,849/122,810
  6. Step 6: Final answer
    x = 274,053.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.