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Finding the Third Proportional to 70,160 and 105,320

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Solution

The third proportional to 70,160 and 105,320 is: 158,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160 : 105,320 = 105,320 : x
  2. Step 2: Convert to fraction form
    70,160/105,320 = 105,320/x
  3. Step 3: Cross multiply
    70,160x = 105,320 × 105,320
  4. Step 4: Simplify right side
    70,160x = 11,092,302,400
  5. Step 5: Solve for x
    x = 11,092,302,400/70,160
  6. Step 6: Final answer
    x = 158,100.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.