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Finding the Third Proportional to 98,705 and 134,935

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Solution

The third proportional to 98,705 and 134,935 is: 184,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,705 : 134,935 = 134,935 : x
  2. Step 2: Convert to fraction form
    98,705/134,935 = 134,935/x
  3. Step 3: Cross multiply
    98,705x = 134,935 × 134,935
  4. Step 4: Simplify right side
    98,705x = 18,207,454,225
  5. Step 5: Solve for x
    x = 18,207,454,225/98,705
  6. Step 6: Final answer
    x = 184,463.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.