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Finding the Third Proportional to 62,213 and 94,472

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Solution

The third proportional to 62,213 and 94,472 is: 143,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,213 : 94,472 = 94,472 : x
  2. Step 2: Convert to fraction form
    62,213/94,472 = 94,472/x
  3. Step 3: Cross multiply
    62,213x = 94,472 × 94,472
  4. Step 4: Simplify right side
    62,213x = 8,924,958,784
  5. Step 5: Solve for x
    x = 8,924,958,784/62,213
  6. Step 6: Final answer
    x = 143,458.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.