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Finding the Third Proportional to 40,916 and 88,270

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Solution

The third proportional to 40,916 and 88,270 is: 190,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,916 : 88,270 = 88,270 : x
  2. Step 2: Convert to fraction form
    40,916/88,270 = 88,270/x
  3. Step 3: Cross multiply
    40,916x = 88,270 × 88,270
  4. Step 4: Simplify right side
    40,916x = 7,791,592,900
  5. Step 5: Solve for x
    x = 7,791,592,900/40,916
  6. Step 6: Final answer
    x = 190,429.00

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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.