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Finding the Third Proportional to 40,973 and 88,507

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Solution

The third proportional to 40,973 and 88,507 is: 191,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,973 : 88,507 = 88,507 : x
  2. Step 2: Convert to fraction form
    40,973/88,507 = 88,507/x
  3. Step 3: Cross multiply
    40,973x = 88,507 × 88,507
  4. Step 4: Simplify right side
    40,973x = 7,833,489,049
  5. Step 5: Solve for x
    x = 7,833,489,049/40,973
  6. Step 6: Final answer
    x = 191,186.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.