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Finding the Third Proportional to 59,765 and 81,210

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Solution

The third proportional to 59,765 and 81,210 is: 110,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,765 : 81,210 = 81,210 : x
  2. Step 2: Convert to fraction form
    59,765/81,210 = 81,210/x
  3. Step 3: Cross multiply
    59,765x = 81,210 × 81,210
  4. Step 4: Simplify right side
    59,765x = 6,595,064,100
  5. Step 5: Solve for x
    x = 6,595,064,100/59,765
  6. Step 6: Final answer
    x = 110,349.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.