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Finding the Third Proportional to 75,090 and 112,410

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Solution

The third proportional to 75,090 and 112,410 is: 168,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,090 : 112,410 = 112,410 : x
  2. Step 2: Convert to fraction form
    75,090/112,410 = 112,410/x
  3. Step 3: Cross multiply
    75,090x = 112,410 × 112,410
  4. Step 4: Simplify right side
    75,090x = 12,636,008,100
  5. Step 5: Solve for x
    x = 12,636,008,100/75,090
  6. Step 6: Final answer
    x = 168,278.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.