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Finding the Third Proportional to 85,710 and 125,214

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Solution

The third proportional to 85,710 and 125,214 is: 182,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,710 : 125,214 = 125,214 : x
  2. Step 2: Convert to fraction form
    85,710/125,214 = 125,214/x
  3. Step 3: Cross multiply
    85,710x = 125,214 × 125,214
  4. Step 4: Simplify right side
    85,710x = 15,678,545,796
  5. Step 5: Solve for x
    x = 15,678,545,796/85,710
  6. Step 6: Final answer
    x = 182,925.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.