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Finding the Third Proportional to 78,210 and 125,925

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Solution

The third proportional to 78,210 and 125,925 is: 202,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210 : 125,925 = 125,925 : x
  2. Step 2: Convert to fraction form
    78,210/125,925 = 125,925/x
  3. Step 3: Cross multiply
    78,210x = 125,925 × 125,925
  4. Step 4: Simplify right side
    78,210x = 15,857,105,625
  5. Step 5: Solve for x
    x = 15,857,105,625/78,210
  6. Step 6: Final answer
    x = 202,750.36

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.