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Finding the Third Proportional to 74,023 and 112,875

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Solution

The third proportional to 74,023 and 112,875 is: 172,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,023 : 112,875 = 112,875 : x
  2. Step 2: Convert to fraction form
    74,023/112,875 = 112,875/x
  3. Step 3: Cross multiply
    74,023x = 112,875 × 112,875
  4. Step 4: Simplify right side
    74,023x = 12,740,765,625
  5. Step 5: Solve for x
    x = 12,740,765,625/74,023
  6. Step 6: Final answer
    x = 172,119.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.