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Finding the Third Proportional to 113,368 and 176,946

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Solution

The third proportional to 113,368 and 176,946 is: 276,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,368 : 176,946 = 176,946 : x
  2. Step 2: Convert to fraction form
    113,368/176,946 = 176,946/x
  3. Step 3: Cross multiply
    113,368x = 176,946 × 176,946
  4. Step 4: Simplify right side
    113,368x = 31,309,886,916
  5. Step 5: Solve for x
    x = 31,309,886,916/113,368
  6. Step 6: Final answer
    x = 276,179.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.