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Finding the Third Proportional to 52,368 and 74,826

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Solution

The third proportional to 52,368 and 74,826 is: 106,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,368 : 74,826 = 74,826 : x
  2. Step 2: Convert to fraction form
    52,368/74,826 = 74,826/x
  3. Step 3: Cross multiply
    52,368x = 74,826 × 74,826
  4. Step 4: Simplify right side
    52,368x = 5,598,930,276
  5. Step 5: Solve for x
    x = 5,598,930,276/52,368
  6. Step 6: Final answer
    x = 106,915.11

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.