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Finding the Third Proportional to 72,358.50 and 113,170.50

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Solution

The third proportional to 72,358.50 and 113,170.50 is: 177,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,358.50 : 113,170.50 = 113,170.50 : x
  2. Step 2: Convert to fraction form
    72,358.50/113,170.50 = 113,170.50/x
  3. Step 3: Cross multiply
    72,358.50x = 113,170.50 × 113,170.50
  4. Step 4: Simplify right side
    72,358.50x = 12,807,562,070.25
  5. Step 5: Solve for x
    x = 12,807,562,070.25/72,358.50
  6. Step 6: Final answer
    x = 177,001.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.