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Finding the Third Proportional to 105,954.75 and 157,097.25

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Solution

The third proportional to 105,954.75 and 157,097.25 is: 232,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954.75 : 157,097.25 = 157,097.25 : x
  2. Step 2: Convert to fraction form
    105,954.75/157,097.25 = 157,097.25/x
  3. Step 3: Cross multiply
    105,954.75x = 157,097.25 × 157,097.25
  4. Step 4: Simplify right side
    105,954.75x = 24,679,545,957.56
  5. Step 5: Solve for x
    x = 24,679,545,957.56/105,954.75
  6. Step 6: Final answer
    x = 232,925.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.