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Finding the Third Proportional to 105,924 and 157,446

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Solution

The third proportional to 105,924 and 157,446 is: 234,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,924 : 157,446 = 157,446 : x
  2. Step 2: Convert to fraction form
    105,924/157,446 = 157,446/x
  3. Step 3: Cross multiply
    105,924x = 157,446 × 157,446
  4. Step 4: Simplify right side
    105,924x = 24,789,242,916
  5. Step 5: Solve for x
    x = 24,789,242,916/105,924
  6. Step 6: Final answer
    x = 234,028.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.