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Finding the Third Proportional to 105,972.75 and 148,518.75

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Solution

The third proportional to 105,972.75 and 148,518.75 is: 208,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,972.75 : 148,518.75 = 148,518.75 : x
  2. Step 2: Convert to fraction form
    105,972.75/148,518.75 = 148,518.75/x
  3. Step 3: Cross multiply
    105,972.75x = 148,518.75 × 148,518.75
  4. Step 4: Simplify right side
    105,972.75x = 22,057,819,101.56
  5. Step 5: Solve for x
    x = 22,057,819,101.56/105,972.75
  6. Step 6: Final answer
    x = 208,146.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.