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Finding the Third Proportional to 68,769 and 101,209.50

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Solution

The third proportional to 68,769 and 101,209.50 is: 148,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,769 : 101,209.50 = 101,209.50 : x
  2. Step 2: Convert to fraction form
    68,769/101,209.50 = 101,209.50/x
  3. Step 3: Cross multiply
    68,769x = 101,209.50 × 101,209.50
  4. Step 4: Simplify right side
    68,769x = 10,243,362,890.25
  5. Step 5: Solve for x
    x = 10,243,362,890.25/68,769
  6. Step 6: Final answer
    x = 148,953.20

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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.