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Finding the Third Proportional to 61,224.61 and 94,599.14

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Solution

The third proportional to 61,224.61 and 94,599.14 is: 146,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,224.61 : 94,599.14 = 94,599.14 : x
  2. Step 2: Convert to fraction form
    61,224.61/94,599.14 = 94,599.14/x
  3. Step 3: Cross multiply
    61,224.61x = 94,599.14 × 94,599.14
  4. Step 4: Simplify right side
    61,224.61x = 8,948,997,406.99
  5. Step 5: Solve for x
    x = 8,948,997,406.99/61,224.61
  6. Step 6: Final answer
    x = 146,166.67

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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.