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Finding the Third Proportional to 39,368 and 85,297

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Solution

The third proportional to 39,368 and 85,297 is: 184,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,368 : 85,297 = 85,297 : x
  2. Step 2: Convert to fraction form
    39,368/85,297 = 85,297/x
  3. Step 3: Cross multiply
    39,368x = 85,297 × 85,297
  4. Step 4: Simplify right side
    39,368x = 7,275,578,209
  5. Step 5: Solve for x
    x = 7,275,578,209/39,368
  6. Step 6: Final answer
    x = 184,809.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.