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Finding the Third Proportional to 65,418 and 103,756.50

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Solution

The third proportional to 65,418 and 103,756.50 is: 164,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418 : 103,756.50 = 103,756.50 : x
  2. Step 2: Convert to fraction form
    65,418/103,756.50 = 103,756.50/x
  3. Step 3: Cross multiply
    65,418x = 103,756.50 × 103,756.50
  4. Step 4: Simplify right side
    65,418x = 10,765,411,292.25
  5. Step 5: Solve for x
    x = 10,765,411,292.25/65,418
  6. Step 6: Final answer
    x = 164,563.44

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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.