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Finding the Third Proportional to 66,253.57 and 105,526.31

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Solution

The third proportional to 66,253.57 and 105,526.31 is: 168,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,253.57 : 105,526.31 = 105,526.31 : x
  2. Step 2: Convert to fraction form
    66,253.57/105,526.31 = 105,526.31/x
  3. Step 3: Cross multiply
    66,253.57x = 105,526.31 × 105,526.31
  4. Step 4: Simplify right side
    66,253.57x = 11,135,802,011.53
  5. Step 5: Solve for x
    x = 11,135,802,011.53/66,253.57
  6. Step 6: Final answer
    x = 168,078.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.