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Finding the Third Proportional to 65,628 and 100,998

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Solution

The third proportional to 65,628 and 100,998 is: 155,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,628 : 100,998 = 100,998 : x
  2. Step 2: Convert to fraction form
    65,628/100,998 = 100,998/x
  3. Step 3: Cross multiply
    65,628x = 100,998 × 100,998
  4. Step 4: Simplify right side
    65,628x = 10,200,596,004
  5. Step 5: Solve for x
    x = 10,200,596,004/65,628
  6. Step 6: Final answer
    x = 155,430.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.