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Finding the Third Proportional to 56,210 and 84,017

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Solution

The third proportional to 56,210 and 84,017 is: 125,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,210 : 84,017 = 84,017 : x
  2. Step 2: Convert to fraction form
    56,210/84,017 = 84,017/x
  3. Step 3: Cross multiply
    56,210x = 84,017 × 84,017
  4. Step 4: Simplify right side
    56,210x = 7,058,856,289
  5. Step 5: Solve for x
    x = 7,058,856,289/56,210
  6. Step 6: Final answer
    x = 125,580.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.