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Finding the Third Proportional to 60,231 and 93,683

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Solution

The third proportional to 60,231 and 93,683 is: 145,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,231 : 93,683 = 93,683 : x
  2. Step 2: Convert to fraction form
    60,231/93,683 = 93,683/x
  3. Step 3: Cross multiply
    60,231x = 93,683 × 93,683
  4. Step 4: Simplify right side
    60,231x = 8,776,504,489
  5. Step 5: Solve for x
    x = 8,776,504,489/60,231
  6. Step 6: Final answer
    x = 145,714.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.