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Finding the Third Proportional to 72,017.16 and 103,743.28

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Solution

The third proportional to 72,017.16 and 103,743.28 is: 149,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,017.16 : 103,743.28 = 103,743.28 : x
  2. Step 2: Convert to fraction form
    72,017.16/103,743.28 = 103,743.28/x
  3. Step 3: Cross multiply
    72,017.16x = 103,743.28 × 103,743.28
  4. Step 4: Simplify right side
    72,017.16x = 10,762,668,404.52
  5. Step 5: Solve for x
    x = 10,762,668,404.52/72,017.16
  6. Step 6: Final answer
    x = 149,445.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.