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Finding the Third Proportional to 52,531.50 and 115,262.25

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Solution

The third proportional to 52,531.50 and 115,262.25 is: 252,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,531.50 : 115,262.25 = 115,262.25 : x
  2. Step 2: Convert to fraction form
    52,531.50/115,262.25 = 115,262.25/x
  3. Step 3: Cross multiply
    52,531.50x = 115,262.25 × 115,262.25
  4. Step 4: Simplify right side
    52,531.50x = 13,285,386,275.06
  5. Step 5: Solve for x
    x = 13,285,386,275.06/52,531.50
  6. Step 6: Final answer
    x = 252,903.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.