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Finding the Third Proportional to 45,402 and 72,150

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Solution

The third proportional to 45,402 and 72,150 is: 114,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402 : 72,150 = 72,150 : x
  2. Step 2: Convert to fraction form
    45,402/72,150 = 72,150/x
  3. Step 3: Cross multiply
    45,402x = 72,150 × 72,150
  4. Step 4: Simplify right side
    45,402x = 5,205,622,500
  5. Step 5: Solve for x
    x = 5,205,622,500/45,402
  6. Step 6: Final answer
    x = 114,656.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.