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Finding the Third Proportional to 65,772 and 98,628

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Solution

The third proportional to 65,772 and 98,628 is: 147,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 98,628 = 98,628 : x
  2. Step 2: Convert to fraction form
    65,772/98,628 = 98,628/x
  3. Step 3: Cross multiply
    65,772x = 98,628 × 98,628
  4. Step 4: Simplify right side
    65,772x = 9,727,482,384
  5. Step 5: Solve for x
    x = 9,727,482,384/65,772
  6. Step 6: Final answer
    x = 147,897.01

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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.