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Finding the Third Proportional to 104,417 and 157,088

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Solution

The third proportional to 104,417 and 157,088 is: 236,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,417 : 157,088 = 157,088 : x
  2. Step 2: Convert to fraction form
    104,417/157,088 = 157,088/x
  3. Step 3: Cross multiply
    104,417x = 157,088 × 157,088
  4. Step 4: Simplify right side
    104,417x = 24,676,639,744
  5. Step 5: Solve for x
    x = 24,676,639,744/104,417
  6. Step 6: Final answer
    x = 236,327.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.