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Finding the Third Proportional to 53,952 and 81,677.63

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Solution

The third proportional to 53,952 and 81,677.63 is: 123,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952 : 81,677.63 = 81,677.63 : x
  2. Step 2: Convert to fraction form
    53,952/81,677.63 = 81,677.63/x
  3. Step 3: Cross multiply
    53,952x = 81,677.63 × 81,677.63
  4. Step 4: Simplify right side
    53,952x = 6,671,234,425.64
  5. Step 5: Solve for x
    x = 6,671,234,425.64/53,952
  6. Step 6: Final answer
    x = 123,651.29

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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.