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Finding the Third Proportional to 72,588 and 155,018

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Solution

The third proportional to 72,588 and 155,018 is: 331,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,588 : 155,018 = 155,018 : x
  2. Step 2: Convert to fraction form
    72,588/155,018 = 155,018/x
  3. Step 3: Cross multiply
    72,588x = 155,018 × 155,018
  4. Step 4: Simplify right side
    72,588x = 24,030,580,324
  5. Step 5: Solve for x
    x = 24,030,580,324/72,588
  6. Step 6: Final answer
    x = 331,054.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.