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Finding the Third Proportional to 70,119 and 94,473

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Solution

The third proportional to 70,119 and 94,473 is: 127,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119 : 94,473 = 94,473 : x
  2. Step 2: Convert to fraction form
    70,119/94,473 = 94,473/x
  3. Step 3: Cross multiply
    70,119x = 94,473 × 94,473
  4. Step 4: Simplify right side
    70,119x = 8,925,147,729
  5. Step 5: Solve for x
    x = 8,925,147,729/70,119
  6. Step 6: Final answer
    x = 127,285.72

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.