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Finding the Third Proportional to 59,748 and 91,711

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Solution

The third proportional to 59,748 and 91,711 is: 140,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,748 : 91,711 = 91,711 : x
  2. Step 2: Convert to fraction form
    59,748/91,711 = 91,711/x
  3. Step 3: Cross multiply
    59,748x = 91,711 × 91,711
  4. Step 4: Simplify right side
    59,748x = 8,410,907,521
  5. Step 5: Solve for x
    x = 8,410,907,521/59,748
  6. Step 6: Final answer
    x = 140,773.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.