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Finding the Third Proportional to 92,900 and 139,560

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Solution

The third proportional to 92,900 and 139,560 is: 209,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,900 : 139,560 = 139,560 : x
  2. Step 2: Convert to fraction form
    92,900/139,560 = 139,560/x
  3. Step 3: Cross multiply
    92,900x = 139,560 × 139,560
  4. Step 4: Simplify right side
    92,900x = 19,476,993,600
  5. Step 5: Solve for x
    x = 19,476,993,600/92,900
  6. Step 6: Final answer
    x = 209,655.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.