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Finding the Third Proportional to 70,156 and 153,895

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Solution

The third proportional to 70,156 and 153,895 is: 337,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,156 : 153,895 = 153,895 : x
  2. Step 2: Convert to fraction form
    70,156/153,895 = 153,895/x
  3. Step 3: Cross multiply
    70,156x = 153,895 × 153,895
  4. Step 4: Simplify right side
    70,156x = 23,683,671,025
  5. Step 5: Solve for x
    x = 23,683,671,025/70,156
  6. Step 6: Final answer
    x = 337,585.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.