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Finding the Third Proportional to 100,457 and 136,804

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Solution

The third proportional to 100,457 and 136,804 is: 186,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,457 : 136,804 = 136,804 : x
  2. Step 2: Convert to fraction form
    100,457/136,804 = 136,804/x
  3. Step 3: Cross multiply
    100,457x = 136,804 × 136,804
  4. Step 4: Simplify right side
    100,457x = 18,715,334,416
  5. Step 5: Solve for x
    x = 18,715,334,416/100,457
  6. Step 6: Final answer
    x = 186,301.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.