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Finding the Third Proportional to 70,695.75 and 152,461.25

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Solution

The third proportional to 70,695.75 and 152,461.25 is: 328,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,695.75 : 152,461.25 = 152,461.25 : x
  2. Step 2: Convert to fraction form
    70,695.75/152,461.25 = 152,461.25/x
  3. Step 3: Cross multiply
    70,695.75x = 152,461.25 × 152,461.25
  4. Step 4: Simplify right side
    70,695.75x = 23,244,432,751.56
  5. Step 5: Solve for x
    x = 23,244,432,751.56/70,695.75
  6. Step 6: Final answer
    x = 328,795.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.