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Finding the Third Proportional to 92,117 and 135,153

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Solution

The third proportional to 92,117 and 135,153 is: 198,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,117 : 135,153 = 135,153 : x
  2. Step 2: Convert to fraction form
    92,117/135,153 = 135,153/x
  3. Step 3: Cross multiply
    92,117x = 135,153 × 135,153
  4. Step 4: Simplify right side
    92,117x = 18,266,333,409
  5. Step 5: Solve for x
    x = 18,266,333,409/92,117
  6. Step 6: Final answer
    x = 198,294.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.