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Finding the Third Proportional to 75,010 and 112,434

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Solution

The third proportional to 75,010 and 112,434 is: 168,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,010 : 112,434 = 112,434 : x
  2. Step 2: Convert to fraction form
    75,010/112,434 = 112,434/x
  3. Step 3: Cross multiply
    75,010x = 112,434 × 112,434
  4. Step 4: Simplify right side
    75,010x = 12,641,404,356
  5. Step 5: Solve for x
    x = 12,641,404,356/75,010
  6. Step 6: Final answer
    x = 168,529.59

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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.