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Finding the Third Proportional to 112,752 and 242,946

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Solution

The third proportional to 112,752 and 242,946 is: 523,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,752 : 242,946 = 242,946 : x
  2. Step 2: Convert to fraction form
    112,752/242,946 = 242,946/x
  3. Step 3: Cross multiply
    112,752x = 242,946 × 242,946
  4. Step 4: Simplify right side
    112,752x = 59,022,758,916
  5. Step 5: Solve for x
    x = 59,022,758,916/112,752
  6. Step 6: Final answer
    x = 523,474.16

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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.