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Finding the Third Proportional to 96,069.75 and 153,473.63

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Solution

The third proportional to 96,069.75 and 153,473.63 is: 245,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,069.75 : 153,473.63 = 153,473.63 : x
  2. Step 2: Convert to fraction form
    96,069.75/153,473.63 = 153,473.63/x
  3. Step 3: Cross multiply
    96,069.75x = 153,473.63 × 153,473.63
  4. Step 4: Simplify right side
    96,069.75x = 23,554,153,570.64
  5. Step 5: Solve for x
    x = 23,554,153,570.64/96,069.75
  6. Step 6: Final answer
    x = 245,177.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.