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Finding the Third Proportional to 61,161.75 and 94,527

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Solution

The third proportional to 61,161.75 and 94,527 is: 146,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,161.75 : 94,527 = 94,527 : x
  2. Step 2: Convert to fraction form
    61,161.75/94,527 = 94,527/x
  3. Step 3: Cross multiply
    61,161.75x = 94,527 × 94,527
  4. Step 4: Simplify right side
    61,161.75x = 8,935,353,729
  5. Step 5: Solve for x
    x = 8,935,353,729/61,161.75
  6. Step 6: Final answer
    x = 146,093.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.