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Finding the Third Proportional to 70,432 and 105,280

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Solution

The third proportional to 70,432 and 105,280 is: 157,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432 : 105,280 = 105,280 : x
  2. Step 2: Convert to fraction form
    70,432/105,280 = 105,280/x
  3. Step 3: Cross multiply
    70,432x = 105,280 × 105,280
  4. Step 4: Simplify right side
    70,432x = 11,083,878,400
  5. Step 5: Solve for x
    x = 11,083,878,400/70,432
  6. Step 6: Final answer
    x = 157,369.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.