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Finding the Third Proportional to 75,411 and 112,023

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Solution

The third proportional to 75,411 and 112,023 is: 166,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411 : 112,023 = 112,023 : x
  2. Step 2: Convert to fraction form
    75,411/112,023 = 112,023/x
  3. Step 3: Cross multiply
    75,411x = 112,023 × 112,023
  4. Step 4: Simplify right side
    75,411x = 12,549,152,529
  5. Step 5: Solve for x
    x = 12,549,152,529/75,411
  6. Step 6: Final answer
    x = 166,410.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.