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Finding the Third Proportional to 142,095.94 and 220,627.69

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Solution

The third proportional to 142,095.94 and 220,627.69 is: 342,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,095.94 : 220,627.69 = 220,627.69 : x
  2. Step 2: Convert to fraction form
    142,095.94/220,627.69 = 220,627.69/x
  3. Step 3: Cross multiply
    142,095.94x = 220,627.69 × 220,627.69
  4. Step 4: Simplify right side
    142,095.94x = 48,676,576,491.60
  5. Step 5: Solve for x
    x = 48,676,576,491.60/142,095.94
  6. Step 6: Final answer
    x = 342,561.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.