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Finding the Third Proportional to 65,925 and 136,521

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Solution

The third proportional to 65,925 and 136,521 is: 282,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925 : 136,521 = 136,521 : x
  2. Step 2: Convert to fraction form
    65,925/136,521 = 136,521/x
  3. Step 3: Cross multiply
    65,925x = 136,521 × 136,521
  4. Step 4: Simplify right side
    65,925x = 18,637,983,441
  5. Step 5: Solve for x
    x = 18,637,983,441/65,925
  6. Step 6: Final answer
    x = 282,714.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.