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Finding the Third Proportional to 52,580.25 and 115,366.50

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Solution

The third proportional to 52,580.25 and 115,366.50 is: 253,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,580.25 : 115,366.50 = 115,366.50 : x
  2. Step 2: Convert to fraction form
    52,580.25/115,366.50 = 115,366.50/x
  3. Step 3: Cross multiply
    52,580.25x = 115,366.50 × 115,366.50
  4. Step 4: Simplify right side
    52,580.25x = 13,309,429,322.25
  5. Step 5: Solve for x
    x = 13,309,429,322.25/52,580.25
  6. Step 6: Final answer
    x = 253,126.02

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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.