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Finding the Third Proportional to 125,284.50 and 260,937

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Solution

The third proportional to 125,284.50 and 260,937 is: 543,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,284.50 : 260,937 = 260,937 : x
  2. Step 2: Convert to fraction form
    125,284.50/260,937 = 260,937/x
  3. Step 3: Cross multiply
    125,284.50x = 260,937 × 260,937
  4. Step 4: Simplify right side
    125,284.50x = 68,088,117,969
  5. Step 5: Solve for x
    x = 68,088,117,969/125,284.50
  6. Step 6: Final answer
    x = 543,468.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.