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Finding the Third Proportional to 96,070.25 and 153,474.50

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Solution

The third proportional to 96,070.25 and 153,474.50 is: 245,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,070.25 : 153,474.50 = 153,474.50 : x
  2. Step 2: Convert to fraction form
    96,070.25/153,474.50 = 153,474.50/x
  3. Step 3: Cross multiply
    96,070.25x = 153,474.50 × 153,474.50
  4. Step 4: Simplify right side
    96,070.25x = 23,554,422,150.25
  5. Step 5: Solve for x
    x = 23,554,422,150.25/96,070.25
  6. Step 6: Final answer
    x = 245,179.15

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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.