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Finding the Third Proportional to 92,833 and 139,455

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Solution

The third proportional to 92,833 and 139,455 is: 209,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,833 : 139,455 = 139,455 : x
  2. Step 2: Convert to fraction form
    92,833/139,455 = 139,455/x
  3. Step 3: Cross multiply
    92,833x = 139,455 × 139,455
  4. Step 4: Simplify right side
    92,833x = 19,447,697,025
  5. Step 5: Solve for x
    x = 19,447,697,025/92,833
  6. Step 6: Final answer
    x = 209,491.20

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Why These Related Problems?

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