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Finding the Third Proportional to 69,768 and 112,362

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Solution

The third proportional to 69,768 and 112,362 is: 180,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,768 : 112,362 = 112,362 : x
  2. Step 2: Convert to fraction form
    69,768/112,362 = 112,362/x
  3. Step 3: Cross multiply
    69,768x = 112,362 × 112,362
  4. Step 4: Simplify right side
    69,768x = 12,625,219,044
  5. Step 5: Solve for x
    x = 12,625,219,044/69,768
  6. Step 6: Final answer
    x = 180,960.03

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.