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Finding the Third Proportional to 70,758 and 148,810

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Solution

The third proportional to 70,758 and 148,810 is: 312,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,758 : 148,810 = 148,810 : x
  2. Step 2: Convert to fraction form
    70,758/148,810 = 148,810/x
  3. Step 3: Cross multiply
    70,758x = 148,810 × 148,810
  4. Step 4: Simplify right side
    70,758x = 22,144,416,100
  5. Step 5: Solve for x
    x = 22,144,416,100/70,758
  6. Step 6: Final answer
    x = 312,959.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.