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Finding the Third Proportional to 92,209 and 139,160

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Solution

The third proportional to 92,209 and 139,160 is: 210,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,209 : 139,160 = 139,160 : x
  2. Step 2: Convert to fraction form
    92,209/139,160 = 139,160/x
  3. Step 3: Cross multiply
    92,209x = 139,160 × 139,160
  4. Step 4: Simplify right side
    92,209x = 19,365,505,600
  5. Step 5: Solve for x
    x = 19,365,505,600/92,209
  6. Step 6: Final answer
    x = 210,017.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.