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Finding the Third Proportional to 70,386 and 103,271

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Solution

The third proportional to 70,386 and 103,271 is: 151,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,386 : 103,271 = 103,271 : x
  2. Step 2: Convert to fraction form
    70,386/103,271 = 103,271/x
  3. Step 3: Cross multiply
    70,386x = 103,271 × 103,271
  4. Step 4: Simplify right side
    70,386x = 10,664,899,441
  5. Step 5: Solve for x
    x = 10,664,899,441/70,386
  6. Step 6: Final answer
    x = 151,520.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.