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Finding the Third Proportional to 40,457 and 88,015

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Solution

The third proportional to 40,457 and 88,015 is: 191,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,457 : 88,015 = 88,015 : x
  2. Step 2: Convert to fraction form
    40,457/88,015 = 88,015/x
  3. Step 3: Cross multiply
    40,457x = 88,015 × 88,015
  4. Step 4: Simplify right side
    40,457x = 7,746,640,225
  5. Step 5: Solve for x
    x = 7,746,640,225/40,457
  6. Step 6: Final answer
    x = 191,478.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.