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Finding the Third Proportional to 67,089 and 98,689.50

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Solution

The third proportional to 67,089 and 98,689.50 is: 145,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,089 : 98,689.50 = 98,689.50 : x
  2. Step 2: Convert to fraction form
    67,089/98,689.50 = 98,689.50/x
  3. Step 3: Cross multiply
    67,089x = 98,689.50 × 98,689.50
  4. Step 4: Simplify right side
    67,089x = 9,739,617,410.25
  5. Step 5: Solve for x
    x = 9,739,617,410.25/67,089
  6. Step 6: Final answer
    x = 145,174.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.