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Finding the Third Proportional to 124,457 and 273,106

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Solution

The third proportional to 124,457 and 273,106 is: 599,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,457 : 273,106 = 273,106 : x
  2. Step 2: Convert to fraction form
    124,457/273,106 = 273,106/x
  3. Step 3: Cross multiply
    124,457x = 273,106 × 273,106
  4. Step 4: Simplify right side
    124,457x = 74,586,887,236
  5. Step 5: Solve for x
    x = 74,586,887,236/124,457
  6. Step 6: Final answer
    x = 599,298.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.