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Finding the Third Proportional to 61,368 and 134,796

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Solution

The third proportional to 61,368 and 134,796 is: 296,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,368 : 134,796 = 134,796 : x
  2. Step 2: Convert to fraction form
    61,368/134,796 = 134,796/x
  3. Step 3: Cross multiply
    61,368x = 134,796 × 134,796
  4. Step 4: Simplify right side
    61,368x = 18,169,961,616
  5. Step 5: Solve for x
    x = 18,169,961,616/61,368
  6. Step 6: Final answer
    x = 296,082.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.