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Finding the Third Proportional to 122,315 and 172,246

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Solution

The third proportional to 122,315 and 172,246 is: 242,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,315 : 172,246 = 172,246 : x
  2. Step 2: Convert to fraction form
    122,315/172,246 = 172,246/x
  3. Step 3: Cross multiply
    122,315x = 172,246 × 172,246
  4. Step 4: Simplify right side
    122,315x = 29,668,684,516
  5. Step 5: Solve for x
    x = 29,668,684,516/122,315
  6. Step 6: Final answer
    x = 242,559.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.