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Finding the Third Proportional to 65,214.50 and 103,658

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Solution

The third proportional to 65,214.50 and 103,658 is: 164,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214.50 : 103,658 = 103,658 : x
  2. Step 2: Convert to fraction form
    65,214.50/103,658 = 103,658/x
  3. Step 3: Cross multiply
    65,214.50x = 103,658 × 103,658
  4. Step 4: Simplify right side
    65,214.50x = 10,744,980,964
  5. Step 5: Solve for x
    x = 10,744,980,964/65,214.50
  6. Step 6: Final answer
    x = 164,763.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.