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Finding the Third Proportional to 61,156 and 94,182

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Solution

The third proportional to 61,156 and 94,182 is: 145,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,156 : 94,182 = 94,182 : x
  2. Step 2: Convert to fraction form
    61,156/94,182 = 94,182/x
  3. Step 3: Cross multiply
    61,156x = 94,182 × 94,182
  4. Step 4: Simplify right side
    61,156x = 8,870,249,124
  5. Step 5: Solve for x
    x = 8,870,249,124/61,156
  6. Step 6: Final answer
    x = 145,042.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.