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Finding the Third Proportional to 105,968.25 and 148,536.25

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Solution

The third proportional to 105,968.25 and 148,536.25 is: 208,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,968.25 : 148,536.25 = 148,536.25 : x
  2. Step 2: Convert to fraction form
    105,968.25/148,536.25 = 148,536.25/x
  3. Step 3: Cross multiply
    105,968.25x = 148,536.25 × 148,536.25
  4. Step 4: Simplify right side
    105,968.25x = 22,063,017,564.06
  5. Step 5: Solve for x
    x = 22,063,017,564.06/105,968.25
  6. Step 6: Final answer
    x = 208,204.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.