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Finding the Third Proportional to 116,155.50 and 172,071

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Solution

The third proportional to 116,155.50 and 172,071 is: 254,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,155.50 : 172,071 = 172,071 : x
  2. Step 2: Convert to fraction form
    116,155.50/172,071 = 172,071/x
  3. Step 3: Cross multiply
    116,155.50x = 172,071 × 172,071
  4. Step 4: Simplify right side
    116,155.50x = 29,608,429,041
  5. Step 5: Solve for x
    x = 29,608,429,041/116,155.50
  6. Step 6: Final answer
    x = 254,903.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.