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Finding the Third Proportional to 66,693 and 101,732.63

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Solution

The third proportional to 66,693 and 101,732.63 is: 155,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,693 : 101,732.63 = 101,732.63 : x
  2. Step 2: Convert to fraction form
    66,693/101,732.63 = 101,732.63/x
  3. Step 3: Cross multiply
    66,693x = 101,732.63 × 101,732.63
  4. Step 4: Simplify right side
    66,693x = 10,349,526,989.39
  5. Step 5: Solve for x
    x = 10,349,526,989.39/66,693
  6. Step 6: Final answer
    x = 155,181.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.