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Finding the Third Proportional to 70,895.25 and 153,427.50

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Solution

The third proportional to 70,895.25 and 153,427.50 is: 332,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,895.25 : 153,427.50 = 153,427.50 : x
  2. Step 2: Convert to fraction form
    70,895.25/153,427.50 = 153,427.50/x
  3. Step 3: Cross multiply
    70,895.25x = 153,427.50 × 153,427.50
  4. Step 4: Simplify right side
    70,895.25x = 23,539,997,756.25
  5. Step 5: Solve for x
    x = 23,539,997,756.25/70,895.25
  6. Step 6: Final answer
    x = 332,039.14

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Why These Related Problems?

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