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Finding the Third Proportional to 72,030.75 and 101,394

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Solution

The third proportional to 72,030.75 and 101,394 is: 142,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,030.75 : 101,394 = 101,394 : x
  2. Step 2: Convert to fraction form
    72,030.75/101,394 = 101,394/x
  3. Step 3: Cross multiply
    72,030.75x = 101,394 × 101,394
  4. Step 4: Simplify right side
    72,030.75x = 10,280,743,236
  5. Step 5: Solve for x
    x = 10,280,743,236/72,030.75
  6. Step 6: Final answer
    x = 142,727.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.