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Finding the Third Proportional to 77,580 and 169,938

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Solution

The third proportional to 77,580 and 169,938 is: 372,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580 : 169,938 = 169,938 : x
  2. Step 2: Convert to fraction form
    77,580/169,938 = 169,938/x
  3. Step 3: Cross multiply
    77,580x = 169,938 × 169,938
  4. Step 4: Simplify right side
    77,580x = 28,878,923,844
  5. Step 5: Solve for x
    x = 28,878,923,844/77,580
  6. Step 6: Final answer
    x = 372,247.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.