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Finding the Third Proportional to 62,564 and 94,388

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Solution

The third proportional to 62,564 and 94,388 is: 142,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,564 : 94,388 = 94,388 : x
  2. Step 2: Convert to fraction form
    62,564/94,388 = 94,388/x
  3. Step 3: Cross multiply
    62,564x = 94,388 × 94,388
  4. Step 4: Simplify right side
    62,564x = 8,909,094,544
  5. Step 5: Solve for x
    x = 8,909,094,544/62,564
  6. Step 6: Final answer
    x = 142,399.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.