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Finding the Third Proportional to 115,511.50 and 172,788

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Solution

The third proportional to 115,511.50 and 172,788 is: 258,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,511.50 : 172,788 = 172,788 : x
  2. Step 2: Convert to fraction form
    115,511.50/172,788 = 172,788/x
  3. Step 3: Cross multiply
    115,511.50x = 172,788 × 172,788
  4. Step 4: Simplify right side
    115,511.50x = 29,855,692,944
  5. Step 5: Solve for x
    x = 29,855,692,944/115,511.50
  6. Step 6: Final answer
    x = 258,465.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.