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Finding the Third Proportional to 125,192.25 and 293,216.63

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Solution

The third proportional to 125,192.25 and 293,216.63 is: 686,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,192.25 : 293,216.63 = 293,216.63 : x
  2. Step 2: Convert to fraction form
    125,192.25/293,216.63 = 293,216.63/x
  3. Step 3: Cross multiply
    125,192.25x = 293,216.63 × 293,216.63
  4. Step 4: Simplify right side
    125,192.25x = 85,975,989,176.39
  5. Step 5: Solve for x
    x = 85,975,989,176.39/125,192.25
  6. Step 6: Final answer
    x = 686,751.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.