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Finding the Third Proportional to 107,236 and 232,124

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Solution

The third proportional to 107,236 and 232,124 is: 502,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,236 : 232,124 = 232,124 : x
  2. Step 2: Convert to fraction form
    107,236/232,124 = 232,124/x
  3. Step 3: Cross multiply
    107,236x = 232,124 × 232,124
  4. Step 4: Simplify right side
    107,236x = 53,881,551,376
  5. Step 5: Solve for x
    x = 53,881,551,376/107,236
  6. Step 6: Final answer
    x = 502,457.68

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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.