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Finding the Third Proportional to 108,291 and 172,804.50

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Solution

The third proportional to 108,291 and 172,804.50 is: 275,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,291 : 172,804.50 = 172,804.50 : x
  2. Step 2: Convert to fraction form
    108,291/172,804.50 = 172,804.50/x
  3. Step 3: Cross multiply
    108,291x = 172,804.50 × 172,804.50
  4. Step 4: Simplify right side
    108,291x = 29,861,395,220.25
  5. Step 5: Solve for x
    x = 29,861,395,220.25/108,291
  6. Step 6: Final answer
    x = 275,751.40

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.