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Finding the Third Proportional to 72,553 and 110,913

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Solution

The third proportional to 72,553 and 110,913 is: 169,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,553 : 110,913 = 110,913 : x
  2. Step 2: Convert to fraction form
    72,553/110,913 = 110,913/x
  3. Step 3: Cross multiply
    72,553x = 110,913 × 110,913
  4. Step 4: Simplify right side
    72,553x = 12,301,693,569
  5. Step 5: Solve for x
    x = 12,301,693,569/72,553
  6. Step 6: Final answer
    x = 169,554.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.