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Finding the Third Proportional to 122,373 and 172,327.50

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Solution

The third proportional to 122,373 and 172,327.50 is: 242,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,373 : 172,327.50 = 172,327.50 : x
  2. Step 2: Convert to fraction form
    122,373/172,327.50 = 172,327.50/x
  3. Step 3: Cross multiply
    122,373x = 172,327.50 × 172,327.50
  4. Step 4: Simplify right side
    122,373x = 29,696,767,256.25
  5. Step 5: Solve for x
    x = 29,696,767,256.25/122,373
  6. Step 6: Final answer
    x = 242,674.18

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