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Finding the Third Proportional to 63,065 and 92,170

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Solution

The third proportional to 63,065 and 92,170 is: 134,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,065 : 92,170 = 92,170 : x
  2. Step 2: Convert to fraction form
    63,065/92,170 = 92,170/x
  3. Step 3: Cross multiply
    63,065x = 92,170 × 92,170
  4. Step 4: Simplify right side
    63,065x = 8,495,308,900
  5. Step 5: Solve for x
    x = 8,495,308,900/63,065
  6. Step 6: Final answer
    x = 134,707.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.