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Finding the Third Proportional to 72,300 and 105,132

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Solution

The third proportional to 72,300 and 105,132 is: 152,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,300 : 105,132 = 105,132 : x
  2. Step 2: Convert to fraction form
    72,300/105,132 = 105,132/x
  3. Step 3: Cross multiply
    72,300x = 105,132 × 105,132
  4. Step 4: Simplify right side
    72,300x = 11,052,737,424
  5. Step 5: Solve for x
    x = 11,052,737,424/72,300
  6. Step 6: Final answer
    x = 152,873.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.