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Finding the Third Proportional to 71,424 and 148,464

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Solution

The third proportional to 71,424 and 148,464 is: 308,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424 : 148,464 = 148,464 : x
  2. Step 2: Convert to fraction form
    71,424/148,464 = 148,464/x
  3. Step 3: Cross multiply
    71,424x = 148,464 × 148,464
  4. Step 4: Simplify right side
    71,424x = 22,041,559,296
  5. Step 5: Solve for x
    x = 22,041,559,296/71,424
  6. Step 6: Final answer
    x = 308,601.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.