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Finding the Third Proportional to 92,862 and 139,292

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Solution

The third proportional to 92,862 and 139,292 is: 208,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,862 : 139,292 = 139,292 : x
  2. Step 2: Convert to fraction form
    92,862/139,292 = 139,292/x
  3. Step 3: Cross multiply
    92,862x = 139,292 × 139,292
  4. Step 4: Simplify right side
    92,862x = 19,402,261,264
  5. Step 5: Solve for x
    x = 19,402,261,264/92,862
  6. Step 6: Final answer
    x = 208,936.50

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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.