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Finding the Third Proportional to 67,095.50 and 144,699.50

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Solution

The third proportional to 67,095.50 and 144,699.50 is: 312,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,095.50 : 144,699.50 = 144,699.50 : x
  2. Step 2: Convert to fraction form
    67,095.50/144,699.50 = 144,699.50/x
  3. Step 3: Cross multiply
    67,095.50x = 144,699.50 × 144,699.50
  4. Step 4: Simplify right side
    67,095.50x = 20,937,945,300.25
  5. Step 5: Solve for x
    x = 20,937,945,300.25/67,095.50
  6. Step 6: Final answer
    x = 312,061.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.