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Finding the Third Proportional to 96,934.25 and 142,206.25

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Solution

The third proportional to 96,934.25 and 142,206.25 is: 208,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,934.25 : 142,206.25 = 142,206.25 : x
  2. Step 2: Convert to fraction form
    96,934.25/142,206.25 = 142,206.25/x
  3. Step 3: Cross multiply
    96,934.25x = 142,206.25 × 142,206.25
  4. Step 4: Simplify right side
    96,934.25x = 20,222,617,539.06
  5. Step 5: Solve for x
    x = 20,222,617,539.06/96,934.25
  6. Step 6: Final answer
    x = 208,622.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.