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Finding the Third Proportional to 70,892 and 109,688

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Solution

The third proportional to 70,892 and 109,688 is: 169,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,892 : 109,688 = 109,688 : x
  2. Step 2: Convert to fraction form
    70,892/109,688 = 109,688/x
  3. Step 3: Cross multiply
    70,892x = 109,688 × 109,688
  4. Step 4: Simplify right side
    70,892x = 12,031,457,344
  5. Step 5: Solve for x
    x = 12,031,457,344/70,892
  6. Step 6: Final answer
    x = 169,715.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.