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Finding the Third Proportional to 65,660 and 98,492

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Solution

The third proportional to 65,660 and 98,492 is: 147,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,660 : 98,492 = 98,492 : x
  2. Step 2: Convert to fraction form
    65,660/98,492 = 98,492/x
  3. Step 3: Cross multiply
    65,660x = 98,492 × 98,492
  4. Step 4: Simplify right side
    65,660x = 9,700,674,064
  5. Step 5: Solve for x
    x = 9,700,674,064/65,660
  6. Step 6: Final answer
    x = 147,741.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.