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Finding the Third Proportional to 89,730 and 139,338

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Solution

The third proportional to 89,730 and 139,338 is: 216,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 139,338 = 139,338 : x
  2. Step 2: Convert to fraction form
    89,730/139,338 = 139,338/x
  3. Step 3: Cross multiply
    89,730x = 139,338 × 139,338
  4. Step 4: Simplify right side
    89,730x = 19,415,078,244
  5. Step 5: Solve for x
    x = 19,415,078,244/89,730
  6. Step 6: Final answer
    x = 216,372.21

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Why These Related Problems?

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