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Finding the Third Proportional to 53,610 and 84,965

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Solution

The third proportional to 53,610 and 84,965 is: 134,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,610 : 84,965 = 84,965 : x
  2. Step 2: Convert to fraction form
    53,610/84,965 = 84,965/x
  3. Step 3: Cross multiply
    53,610x = 84,965 × 84,965
  4. Step 4: Simplify right side
    53,610x = 7,219,051,225
  5. Step 5: Solve for x
    x = 7,219,051,225/53,610
  6. Step 6: Final answer
    x = 134,658.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.