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Finding the Third Proportional to 61,296.19 and 94,715.44

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Solution

The third proportional to 61,296.19 and 94,715.44 is: 146,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,296.19 : 94,715.44 = 94,715.44 : x
  2. Step 2: Convert to fraction form
    61,296.19/94,715.44 = 94,715.44/x
  3. Step 3: Cross multiply
    61,296.19x = 94,715.44 × 94,715.44
  4. Step 4: Simplify right side
    61,296.19x = 8,971,014,100.82
  5. Step 5: Solve for x
    x = 8,971,014,100.82/61,296.19
  6. Step 6: Final answer
    x = 146,355.17

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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.