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Finding the Third Proportional to 58,722 and 103,656

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Solution

The third proportional to 58,722 and 103,656 is: 182,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,722 : 103,656 = 103,656 : x
  2. Step 2: Convert to fraction form
    58,722/103,656 = 103,656/x
  3. Step 3: Cross multiply
    58,722x = 103,656 × 103,656
  4. Step 4: Simplify right side
    58,722x = 10,744,566,336
  5. Step 5: Solve for x
    x = 10,744,566,336/58,722
  6. Step 6: Final answer
    x = 182,973.44

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.