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Finding the Third Proportional to 112,855 and 242,931

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Solution

The third proportional to 112,855 and 242,931 is: 522,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,855 : 242,931 = 242,931 : x
  2. Step 2: Convert to fraction form
    112,855/242,931 = 242,931/x
  3. Step 3: Cross multiply
    112,855x = 242,931 × 242,931
  4. Step 4: Simplify right side
    112,855x = 59,015,470,761
  5. Step 5: Solve for x
    x = 59,015,470,761/112,855
  6. Step 6: Final answer
    x = 522,931.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.