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Finding the Third Proportional to 73,374 and 110,830.50

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Solution

The third proportional to 73,374 and 110,830.50 is: 167,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,374 : 110,830.50 = 110,830.50 : x
  2. Step 2: Convert to fraction form
    73,374/110,830.50 = 110,830.50/x
  3. Step 3: Cross multiply
    73,374x = 110,830.50 × 110,830.50
  4. Step 4: Simplify right side
    73,374x = 12,283,399,730.25
  5. Step 5: Solve for x
    x = 12,283,399,730.25/73,374
  6. Step 6: Final answer
    x = 167,408.07

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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.