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Finding the Third Proportional to 142,145.72 and 207,658.69

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Solution

The third proportional to 142,145.72 and 207,658.69 is: 303,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145.72 : 207,658.69 = 207,658.69 : x
  2. Step 2: Convert to fraction form
    142,145.72/207,658.69 = 207,658.69/x
  3. Step 3: Cross multiply
    142,145.72x = 207,658.69 × 207,658.69
  4. Step 4: Simplify right side
    142,145.72x = 43,122,130,494.22
  5. Step 5: Solve for x
    x = 43,122,130,494.22/142,145.72
  6. Step 6: Final answer
    x = 303,365.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.