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Finding the Third Proportional to 73,152 and 157,378.50

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Solution

The third proportional to 73,152 and 157,378.50 is: 338,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,152 : 157,378.50 = 157,378.50 : x
  2. Step 2: Convert to fraction form
    73,152/157,378.50 = 157,378.50/x
  3. Step 3: Cross multiply
    73,152x = 157,378.50 × 157,378.50
  4. Step 4: Simplify right side
    73,152x = 24,767,992,262.25
  5. Step 5: Solve for x
    x = 24,767,992,262.25/73,152
  6. Step 6: Final answer
    x = 338,582.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.