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Finding the Third Proportional to 40,715 and 88,391

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Solution

The third proportional to 40,715 and 88,391 is: 191,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,715 : 88,391 = 88,391 : x
  2. Step 2: Convert to fraction form
    40,715/88,391 = 88,391/x
  3. Step 3: Cross multiply
    40,715x = 88,391 × 88,391
  4. Step 4: Simplify right side
    40,715x = 7,812,968,881
  5. Step 5: Solve for x
    x = 7,812,968,881/40,715
  6. Step 6: Final answer
    x = 191,894.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.