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Finding the Third Proportional to 70,112.25 and 152,117.25

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Solution

The third proportional to 70,112.25 and 152,117.25 is: 330,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,112.25 : 152,117.25 = 152,117.25 : x
  2. Step 2: Convert to fraction form
    70,112.25/152,117.25 = 152,117.25/x
  3. Step 3: Cross multiply
    70,112.25x = 152,117.25 × 152,117.25
  4. Step 4: Simplify right side
    70,112.25x = 23,139,657,747.56
  5. Step 5: Solve for x
    x = 23,139,657,747.56/70,112.25
  6. Step 6: Final answer
    x = 330,037.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.