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Finding the Third Proportional to 108,094 and 172,678.50

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Solution

The third proportional to 108,094 and 172,678.50 is: 275,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,094 : 172,678.50 = 172,678.50 : x
  2. Step 2: Convert to fraction form
    108,094/172,678.50 = 172,678.50/x
  3. Step 3: Cross multiply
    108,094x = 172,678.50 × 172,678.50
  4. Step 4: Simplify right side
    108,094x = 29,817,864,362.25
  5. Step 5: Solve for x
    x = 29,817,864,362.25/108,094
  6. Step 6: Final answer
    x = 275,851.24

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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.