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Finding the Third Proportional to 61,467 and 96,004.50

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Solution

The third proportional to 61,467 and 96,004.50 is: 149,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,467 : 96,004.50 = 96,004.50 : x
  2. Step 2: Convert to fraction form
    61,467/96,004.50 = 96,004.50/x
  3. Step 3: Cross multiply
    61,467x = 96,004.50 × 96,004.50
  4. Step 4: Simplify right side
    61,467x = 9,216,864,020.25
  5. Step 5: Solve for x
    x = 9,216,864,020.25/61,467
  6. Step 6: Final answer
    x = 149,948.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.