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Finding the Third Proportional to 90,270 and 139,703

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Solution

The third proportional to 90,270 and 139,703 is: 216,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,270 : 139,703 = 139,703 : x
  2. Step 2: Convert to fraction form
    90,270/139,703 = 139,703/x
  3. Step 3: Cross multiply
    90,270x = 139,703 × 139,703
  4. Step 4: Simplify right side
    90,270x = 19,516,928,209
  5. Step 5: Solve for x
    x = 19,516,928,209/90,270
  6. Step 6: Final answer
    x = 216,206.14

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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.