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Finding the Third Proportional to 70,672 and 99,056

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Solution

The third proportional to 70,672 and 99,056 is: 138,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,672 : 99,056 = 99,056 : x
  2. Step 2: Convert to fraction form
    70,672/99,056 = 99,056/x
  3. Step 3: Cross multiply
    70,672x = 99,056 × 99,056
  4. Step 4: Simplify right side
    70,672x = 9,812,091,136
  5. Step 5: Solve for x
    x = 9,812,091,136/70,672
  6. Step 6: Final answer
    x = 138,839.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.