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Finding the Third Proportional to 129,102 and 195,585

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Solution

The third proportional to 129,102 and 195,585 is: 296,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,102 : 195,585 = 195,585 : x
  2. Step 2: Convert to fraction form
    129,102/195,585 = 195,585/x
  3. Step 3: Cross multiply
    129,102x = 195,585 × 195,585
  4. Step 4: Simplify right side
    129,102x = 38,253,492,225
  5. Step 5: Solve for x
    x = 38,253,492,225/129,102
  6. Step 6: Final answer
    x = 296,304.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.