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Finding the Third Proportional to 97,641 and 146,461.50

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Solution

The third proportional to 97,641 and 146,461.50 is: 219,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,641 : 146,461.50 = 146,461.50 : x
  2. Step 2: Convert to fraction form
    97,641/146,461.50 = 146,461.50/x
  3. Step 3: Cross multiply
    97,641x = 146,461.50 × 146,461.50
  4. Step 4: Simplify right side
    97,641x = 21,450,970,982.25
  5. Step 5: Solve for x
    x = 21,450,970,982.25/97,641
  6. Step 6: Final answer
    x = 219,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.