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Finding the Third Proportional to 65,598 and 98,410

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Solution

The third proportional to 65,598 and 98,410 is: 147,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,598 : 98,410 = 98,410 : x
  2. Step 2: Convert to fraction form
    65,598/98,410 = 98,410/x
  3. Step 3: Cross multiply
    65,598x = 98,410 × 98,410
  4. Step 4: Simplify right side
    65,598x = 9,684,528,100
  5. Step 5: Solve for x
    x = 9,684,528,100/65,598
  6. Step 6: Final answer
    x = 147,634.50

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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.