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Finding the Third Proportional to 72,327 and 148,177.50

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Solution

The third proportional to 72,327 and 148,177.50 is: 303,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,327 : 148,177.50 = 148,177.50 : x
  2. Step 2: Convert to fraction form
    72,327/148,177.50 = 148,177.50/x
  3. Step 3: Cross multiply
    72,327x = 148,177.50 × 148,177.50
  4. Step 4: Simplify right side
    72,327x = 21,956,571,506.25
  5. Step 5: Solve for x
    x = 21,956,571,506.25/72,327
  6. Step 6: Final answer
    x = 303,573.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.