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Finding the Third Proportional to 60,030 and 96,696

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Solution

The third proportional to 60,030 and 96,696 is: 155,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,030 : 96,696 = 96,696 : x
  2. Step 2: Convert to fraction form
    60,030/96,696 = 96,696/x
  3. Step 3: Cross multiply
    60,030x = 96,696 × 96,696
  4. Step 4: Simplify right side
    60,030x = 9,350,116,416
  5. Step 5: Solve for x
    x = 9,350,116,416/60,030
  6. Step 6: Final answer
    x = 155,757.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.