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Finding the Third Proportional to 108,089 and 171,756.50

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Solution

The third proportional to 108,089 and 171,756.50 is: 272,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,089 : 171,756.50 = 171,756.50 : x
  2. Step 2: Convert to fraction form
    108,089/171,756.50 = 171,756.50/x
  3. Step 3: Cross multiply
    108,089x = 171,756.50 × 171,756.50
  4. Step 4: Simplify right side
    108,089x = 29,500,295,292.25
  5. Step 5: Solve for x
    x = 29,500,295,292.25/108,089
  6. Step 6: Final answer
    x = 272,925.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.