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Finding the Third Proportional to 70,011 and 105,522

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Solution

The third proportional to 70,011 and 105,522 is: 159,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,011 : 105,522 = 105,522 : x
  2. Step 2: Convert to fraction form
    70,011/105,522 = 105,522/x
  3. Step 3: Cross multiply
    70,011x = 105,522 × 105,522
  4. Step 4: Simplify right side
    70,011x = 11,134,892,484
  5. Step 5: Solve for x
    x = 11,134,892,484/70,011
  6. Step 6: Final answer
    x = 159,044.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.