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Finding the Third Proportional to 92,090 and 139,935

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Solution

The third proportional to 92,090 and 139,935 is: 212,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,090 : 139,935 = 139,935 : x
  2. Step 2: Convert to fraction form
    92,090/139,935 = 139,935/x
  3. Step 3: Cross multiply
    92,090x = 139,935 × 139,935
  4. Step 4: Simplify right side
    92,090x = 19,581,804,225
  5. Step 5: Solve for x
    x = 19,581,804,225/92,090
  6. Step 6: Final answer
    x = 212,637.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.